We are staying one night at Double Tree Hilton Disney Springs, before our 7 night stay at OKW. Does anyone know if the hotel will transfer our luggage from Double Tree to Old Key West, or if we need to physically carry our luggage to the new hotel. I know if you are moving from Disney properties, they will move the luggage, but I've never had to stay at a Disney Springs hotel. Wasn't sure if they work with Disney hotels.