Travel on Florida Turnpike to Exit 267A (429S) (approximately 42 miles)
Travel on 429S to Exit 8 (Disney World/Hartzog Rd) (approximately 14 miles)
This road will take you to West Buena Vista Dr near Coronado Springs.
Turn right if going to All-Stars, Animal Kingdom Lodge or Pop Century, turn left if going anywhere else, then follow the Disney signs to your destination.
Tolls on the main Turnpike will be $2.50 for a standard vehicle. (More if pulling a trailer).
Tolls on 429S to Disney World will be just $1.25 as the Disney World Exit doesn't appear to charge a toll.
(I based the mileage on the exit numbers as they coincide with mile markers).