The choice of weapons and yield would depend on the specific scenario. In 1963 the US had everything from nuclear artillery shells for 155mm guns, to the Davy Crockett, nuclear land mines, short ranged rockets and air dropped bombs available to the Army for the land war in Europe.
The better question to ask may be "what weapons have survived the initial attack?" Easy targets like airfields may have already been hit by enemy weapons; the weapons themselves will survive in their magazines but the aircraft needed to deliver them are very soft targets. Weapons controlled by the Army may be more survivable as they're better dispersed and their location more difficult to discern by the enemy. In 1963 there wasn't much in the way of dial-a-yield weapons; most came from the factory fixed yield.
Expect everything from little 100t W48 155mm shells to the 30kt warhead on the Honest John missiles. The exact number will depend on weapon choice, weapon accuracy and how dispersed the enemy forces are. Take note though, in the smaller weapons (say under 5kt) the primary kill mechanism against armoured vehicles in neutron radiation and not overpressure.
Long story short, the best option is to drop the Big One on Moscow here rather than to try to stop a tank division there and then with nukes.
Dropping the big one on Moscow won't stop the drive through the Fulda Gap.