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From the Swan/Dolphin website, which looks much like what Debbie said:
*From the airport, take the South exit.
*After 4.2 miles, the 417 South (Central Florida Greenway) exit appears on the right (this is a toll road which will cost a total of $2.00)
*You will stay on the Central Florida Greenway (417) for 18.2 miles.
*There are two exits: the "Epcot Center/Disney Village" exit (#6) and the "Magic Kingdom/Disney-MGM Studios" exit (#3).
Take exit #3 (which is called Osceola Parkway).
*At the bottom of the exit ramp, turn right (West). Continue on this road and you will soon see the Walt Disney World signage.
*Stay in the right lane and look for the exit marked "Disney-MGM, Epcot Resort Area, etc". Exit to the right.
*You should now see the "Earful Tower" (water tower with Mickey ears) on your right.
*Immedately after on the right is an exit marked "Disney-MGM, Epcot Resort Area, Magic Kingdom, Disney Village". Take this exit and immediately get in the left lane (you are now on Lake Buena Vista Drive).
*At the first light, take a left (you are now on Epcot Resorts Boulevard).
*The first right takes you to the entrance of the Walt Disney World Swan. Continue straight ahead to the front of the hotel.
*The second right off of Epcot Resorts Boulevard takes you to the entrance of the Walt Disney World Dolphin.
However you get there, have a wonderful time!!