So I lost my move tool. When I select anything, the standard little 3D move tool interface with all the arrows is no longer visible. I started to use 'G' to overcome that, but now that no longer works. I can move stuff around with G in the UV editor, but it is really rigid and snaps to a grid. I can't use G at all anymore to move things in 3D View though.
I don't know what I pressed, but I messed something up pretty good.