Thanks! The Kingdoms won't technically be unified until Richard passes them on to his son. He's currently both King of England and King of France, but his successor will be King of England and France (much like the unification of the Kingdoms of Castile and Leon in OTL, or the later unification of Castile and Aragon). And yes, France will most likely end up as the dominant section of the Kingdom, especially if Richard decides to move the capital to Normandy, as I think he may.
I see. Isn't that basically a simplified version of what happened in Britain in 1707?