Yes Disney will move your bags for you, but it may take awhile so anything you need in the next few hours keep with you. You just call bell services and tell them what time to pick them up, they will come to your room and give you a receipt for them and then you can go off to play. When you get checked into the next resort just call their bell services and they will bring them to your room. We have done this several times and would just do what we would normally do until after 3 then catch the resort bus over to the next resort from what ever park we were in, check in, get the new room, and give them a call. Usually the luggage would be there by 5.