Mears operates shuttle service between the resorts and non-Disney attractions for less than a cab.
(Mears operates the DME for Disney, as well.)
Another VERY INEXPENSIVE ($1.25 or so, one way, per person) way to go is riding the Orlando Lynx (Public Transportation Bus /Very safe and clean).
You'll need correct change.
An Orlando Lynx bus makes regular stops at TTC and you can transfer to other area attractions from it.
If this doesn't get moved by a moderator, post this question on the DIS "Transportation" board.
EDIT: And HERE WE ARE, TRANSPORTED to the "Transportation Board".
Check out www.golynx.com This is a very easy and cheap way to get from TTC to SW. The bus drops you right at the SW parking lot. Just walk through the lot and you're at the gates.