As another poster already stated.....just walk or boat from the Studios to any of the Epcot resorts. The Swan/Dolphin is the first stop if you take the boat. You can catch a bus to DTD from any of the Epcot resorts (Boardwalk, Beach and Yacht clubs, and Swan and Dolphin).
As long as you have a valid theme park ticket you can use any and all transportation within WDW.