I would suggest renting a car!
The Mears shuttle will take too long each way. Towncars, limos and taxis will probably cost more.
More Disney tips:
http://members.aol.com/ajaynejr/disney.htm
9/65
Disneyland
3/75 World Inn (now Doubletree Club)
4/85 Kon-Tiki (now Econolodge Hawaiian)
'80s Disneyland once or twice
7/94 Dixie Landings (now Port Orleans Riverside)
9/97 All Star Music
11/98 ASMu & first premium annual pass
12/98 Knights Inn on 192
9/99 All Star Movies
12/00 All Star Sports & PAP#2
9/01 ASSp
11/01 ASSp
1/03 Motel 6 & ASSp & PAP#3
11/03 Pop Century planned