You will probably not want to choose Animal Kingdom Lodge, Coronado Springs, Fort Wilderness, Wilderness Lodge, Contemporary, Polynesian, or Grand Floridian as well as not the All Stars for a bus transfer point.
The most common choices for bus connections are Saratoga Springs (if you are going to the north side or Marketplace), Pop Century, Caribbean Beach, and Port Orleans.
The fastest way, probably less than 20 minutes, is by automobile. (Yours, rented, or chauffeured.)