Others have addressed transferring luggage. As for getting yourself from AKLV to WLV, I'd consider making MK the park to go to on move day. That way, you can catch a bus to MK from AKLV, then go into MK or immediately boat over to WLV to check-in even though your room almost certainly won't be ready in the AM. Once done checking in, boat back over to MK and enjoy your day, knowing it's an easy boat ride over to WLV once your room is ready in the late afternoon.
A cab from AKLV to WLV would certainly be quicker than this, but I think this is a fairly pleasant way to go about moving from one resort to another.
Editing to add: you could also take a bus to WLV from MK, and it's probably faster as well, but I think the boat is a really nice trip.