Was the unit tilted up on it's side during the move?
If yes did you let it sit at it's present location for 24 hours before plugging it in.
If not do this and tray it again.

If the above does not apply and the compressor is running then you now have a problem in the sealed system re: the freon has leaked out etc.
A sealed system problem will be an expensive repair as you need a pro.
Often it makes more sense to put those dollars towards a new unit.