There are several to consider:
AIRPORT NORTH EXIT
TOLL 528 (Beachline Expressway) west to US 17/92/441 Exit (Orange Blossom Trail)
Take OBT northbound past the Florida Mall and Publix will be on your right just beyond the Sand Lake Road interchange.
For Disney, return south on OBT to 528 westbound merging onto I-4 westbound.
or
AIRPORT NORTH EXIT
TOLL 528 Beachline Expressway west to I-4
I-4 eastbound (physically northbound) one exit to Sand Lake Road
Turn left off exit ramp and go west on Sand Lake Road and Publix will be on your left about a half mile ahead.
For Disney, return to I-4 and go westbound.
or
AIRPORT SOUTH EXIT
TOLL 417 Greeneway westbound to SR 536 exit.
First traffic light immediately upon exiting is International Drive. Turn right and go north on I-Drive.
Publix will be on your left at the corner of Vineland Road, across from the Orlando Premium Outlets.
For Disney, return south on I-Drive and turn right at SR 536 and follow it directly into Disney World.
Of all these, the second one is probably the easiest but the latter one is the closest to Disney itself.
BobK/Orlando