There's several stores close by, and easy to get to right off disney property.
Wal-Mart - 192 East, located in Kissimme, it's a bit further and more touristy, and not as nice as the other two
192 - West, located in the Four Corners, it's a bit of a drive but it is about the nicest one.
535 - Right at Osceola Pkwy/535, it's the closest, still touristy, but nice, but be careful at night cause this is when all the CP's shop...
Target - 535/192 interestion, easy to get to, very nice, very clean
192 West - A bit further from Disney property, but it's brand new, opened in march/april.
Publix - All of them are reasonably priced, sometimes higher than wal-mart but I sometimes prefer quality over quantity. You can find their weekly ad online as well. They usually do a lot of buy 1 get 1 frees every week, and you don't need to get a card to get the deals.
192/international dr S - Right next to Gaylord Palms, this is one of the nicer ones, slightly smaller than the others though
192/535 - Right around the corner from Super Target, this is the largest, and They stay open the latest, till 11pm I believe on weeknights.
192 West - Across from the brand new Super Target, it's decent, it's nice.
Winn Dixie - You do have to sign up with one of thier cards if you don't have one already to get thier sale items. It's an alright store, better than most in the chain, but not even as nice as 535 wal-mart. There is a simple back road if you're on the northeast end of property (Fort Wilderness, Port Orleans, Key West, Saratoga) Truthfully it's kinda out of the way. It's on Apoka-Vineland Road, just a couple miles north of the Cross Roads shopping center.
Goodings - Just stay away from.... That's in the Cross Roads.
I'll try to get a map up when I get home...