Definitely no tolls REQUIRED from there. You can access Disney via Sherberth Road, as the previous poster mentioned. It will bring you into Disney at the entrance to AKL. If you turn right, you'll be on the non-toll portion of the Osceola Parkway. You can go from AKL to I-4 via the Osceola Parkway as well (if Hwy 192 is really busy) and from I-4, you can get to just about any place other than Disney (Universal, SW, shopping, etc.).
The toll roads in the area, in case you want to avoid them:
Florida Turnpike
SR429 (western beltway)
SR417 (eastern beltway)
SR528 (Beachline Expressway)
Osceola Parkway (between Saralago Blvd. and John Young Parkway only)
SR408 (East-West Expressway - near downtown Orlando)
But if you have a few coins, the toll roads can be a good way to avoid some (but not all) of the traffic, depending on where you're headed.