Shortly prior to the outbreak of World War 1, Scapa Flow was chosen to be the base of the Royal Navy during wartime. Scapa Flow is a huge anchorage, but had a lot of predictable disadvantages. Infrastructure to support capital ships was essentially non-existent: ships undergoing maintenance or repair mostly had to go elsewhere, and coal had to be shipped in from elsewhere and kept onboard colliers until needed. There were no pre-war harbor defenses. Finally, Scapa Flow was intentionally remote, which was protective against attacks at anchor but meant the Grand Fleet was consistently unable to intervene against raids on the English coast. This last factor led to multiple large Royal Navy squadrons being stationed in other ports.
What if the entire Grand Fleet was based in Rosyth? I think some minimal effort had been made to prepare Rosyth to host a battlefleet pre-war and that it was the leading competitor to Scapa Flow. It is also the option with the most historic precedent, since the Battlecruiser Force consistently was based out of Rosyth, at times so were the 3rd Battle Squadron (the KE8 pre-dreadnoughts), and the Grand Fleet sometimes used Rosyth as an assembly point. I think the biggest point usually brought up against Rosyth is that it wasn't as good a training ground as Scapa Flow, but that debate is linked to the performance of Beatty's battlecruisers in combat so there's a lot of confounders when it comes to determining how truly significant this issue might be. Although probably the most plausible, I think a base at Rosyth is the least dynamic to consider from an alternate history perspective since it's not that different than OTL.
A clear departure from OTL instead would be basing the Grand Fleet at the Nore, which traditionally was a major command post and base to begin with. The logistical support immediately available would be excellent and the fleet would be much, much closer to raids by the German High Seas Fleet on the English Channel or the English coast, while still being reasonably (if not better?) positioned to cut the High Seas Fleet off from its home bases if it tries to sortie north to destroy ships conducting the distant blockade. I'm not sure if the training situation would be any better or worse than Rosyth or Scapa Flow. The main point against stationing the Grand Fleet at the Nore is that it is more exposed to attacks such as by torpedo boats at night. Personally I find this to be an insufficient deterrent because the 3rd Battle Squadron (including HMS Dreadnought herself!) was stationed there and if it was so easy to raid the Germans would eagerly have done so since destroying isolated squadrons of battleships was their only path towards conventional naval parity. I think this option is still basically plausible in an alternate history, but it significantly changes the naval dynamics from OTL. The "baby-killer" raids are presumably too dangerous to attempt, so the High Seas Fleet has to figure out something else to do (like send the battlecruisers on raids into the Atlantic?) or remain idle (and foment earlier revolution?).
Still vaguely plausible is basing significant elements of the Grand Fleet out of the Humber. HMS New Zealand and HMS Invincible were briefly stationed there in 1914, and HMS Marlborough returned there after the Battle of Jutland so I get the sense there was some ability to support capital ships, but I'm really not sure about the particulars. It's probably not substantially different than the Nore in terms of strategic implications.
Portsmouth might also be considered as an option. I think it was a major peacetime yard for the Royal Navy and it was the site of the Royal Fleet Review during the July crisis. It has the logistics to support the fleet and the fleet can defend incursions into the English Channel (but maybe not the raids on the East coast?) while being better protected than putting the fleet in the Thames. This might be where a Grand Fleet hides if it suffers major losses or if leadership is extremely cautious.
Getting into exotic allohistoric alternatives, the Grand Fleet might be based out of Norway. There are plenty of deep fjords to host the fleet and places for fleet exercises. Logistics and lack of existing defenses is an issue, but hey they made it work in the Orkneys, why not Norway? Never mind neutrality.
Finally, the Grand Fleet could take station at the Skaw. The German High Seas Fleet would sometimes assemble there in peacetime so it must have had some virtues as an anchorage. However, a base at Skagen would have been highly exposed and logistically challenging. It would have resulted in the summary occupation of Jutland (eventually including Skagen itself presumably) by the German army, but in the meantime would have been a highly provocative stimuli to the High Seas Fleet to come out and fight immediately. Highly implausible for World War 1 as we know it.
What if the entire Grand Fleet was based in Rosyth? I think some minimal effort had been made to prepare Rosyth to host a battlefleet pre-war and that it was the leading competitor to Scapa Flow. It is also the option with the most historic precedent, since the Battlecruiser Force consistently was based out of Rosyth, at times so were the 3rd Battle Squadron (the KE8 pre-dreadnoughts), and the Grand Fleet sometimes used Rosyth as an assembly point. I think the biggest point usually brought up against Rosyth is that it wasn't as good a training ground as Scapa Flow, but that debate is linked to the performance of Beatty's battlecruisers in combat so there's a lot of confounders when it comes to determining how truly significant this issue might be. Although probably the most plausible, I think a base at Rosyth is the least dynamic to consider from an alternate history perspective since it's not that different than OTL.
A clear departure from OTL instead would be basing the Grand Fleet at the Nore, which traditionally was a major command post and base to begin with. The logistical support immediately available would be excellent and the fleet would be much, much closer to raids by the German High Seas Fleet on the English Channel or the English coast, while still being reasonably (if not better?) positioned to cut the High Seas Fleet off from its home bases if it tries to sortie north to destroy ships conducting the distant blockade. I'm not sure if the training situation would be any better or worse than Rosyth or Scapa Flow. The main point against stationing the Grand Fleet at the Nore is that it is more exposed to attacks such as by torpedo boats at night. Personally I find this to be an insufficient deterrent because the 3rd Battle Squadron (including HMS Dreadnought herself!) was stationed there and if it was so easy to raid the Germans would eagerly have done so since destroying isolated squadrons of battleships was their only path towards conventional naval parity. I think this option is still basically plausible in an alternate history, but it significantly changes the naval dynamics from OTL. The "baby-killer" raids are presumably too dangerous to attempt, so the High Seas Fleet has to figure out something else to do (like send the battlecruisers on raids into the Atlantic?) or remain idle (and foment earlier revolution?).
Still vaguely plausible is basing significant elements of the Grand Fleet out of the Humber. HMS New Zealand and HMS Invincible were briefly stationed there in 1914, and HMS Marlborough returned there after the Battle of Jutland so I get the sense there was some ability to support capital ships, but I'm really not sure about the particulars. It's probably not substantially different than the Nore in terms of strategic implications.
Portsmouth might also be considered as an option. I think it was a major peacetime yard for the Royal Navy and it was the site of the Royal Fleet Review during the July crisis. It has the logistics to support the fleet and the fleet can defend incursions into the English Channel (but maybe not the raids on the East coast?) while being better protected than putting the fleet in the Thames. This might be where a Grand Fleet hides if it suffers major losses or if leadership is extremely cautious.
Getting into exotic allohistoric alternatives, the Grand Fleet might be based out of Norway. There are plenty of deep fjords to host the fleet and places for fleet exercises. Logistics and lack of existing defenses is an issue, but hey they made it work in the Orkneys, why not Norway? Never mind neutrality.
Finally, the Grand Fleet could take station at the Skaw. The German High Seas Fleet would sometimes assemble there in peacetime so it must have had some virtues as an anchorage. However, a base at Skagen would have been highly exposed and logistically challenging. It would have resulted in the summary occupation of Jutland (eventually including Skagen itself presumably) by the German army, but in the meantime would have been a highly provocative stimuli to the High Seas Fleet to come out and fight immediately. Highly implausible for World War 1 as we know it.