Yes, the Swan/Dolphin does use Disney transportation and all buses are handicapped accessible. The bus picks up from the Swan first which is always great because you know you'll get a seat, then it stops at the Dolphin and then the Boardwalk. There is no bus transportation to Epcot or MGM because they have the boat for that. If there is a long wait for the boat or too many people in line we just walk because it only takes about 10 mins. and it's a very nice and scenic walk. Takes about 15 mins. to walk to MGM.