So LittleBigPlanet 2's Move support is just a free install of PlayStation Network title Sackboy's Prehistoric Moves, but Media Molecule has confirmed it is working on other Move content for the title to be available later this year.
The company will release a Play, Create, Share pack later this year adding plenty more Move content to the game, as described by studio director Siobhan Reddy:
We’re still in the R&D phase and working out what the features will be, but it will be announced in a little while and we’re really excited. In the same way as in LBP2, you have the Controlinator and you can remap the controls, you’ll be able to do the same thing with Move. It’ll also allow the community to make their own Move games and that’s very cool.
We'll bring you further updates as they arrive, and we'll review LittleBigPlanet 2 once it's received further Move support.