An ice machine is a refrigeration unit plumbed to a water line. Drain it completely, keep it upright like any compressor appliance, and it will make ice again on the other end.
Pro tip: Run a sanitizing cycle at the new location before making ice, since the bin sat damp and warm during the move.
Watch out: Leaving water in the lines or bin invites leaks, freezing damage, and mold; always drain and dry it fully first.