You have a couple of choices:
Check out of AKL. Call a cab and bring your luggage/food items with you to VWL. Check in at VWL. If your rooms not ready, Bell Services will store your stuff.
Call Bell Services and tell them you are moving from AKL to VWL. They will come and pick up your luggage and food items. They will transport all your stuff, and will keep anything needing refrigeration cold as long as it is separate. Check out of AKL and either call a cab to take you to VWL or take a bus to a park for the day. In the afternoon take bus/boat over to VWL and check in. Your luggage and food items should arrive around 3-4 in the afternoon.
We prefer the second option and head to a park right after checking out of resort #1. We don't lose any park time that way.