I suggest Publix, they have everything, I know that there is a publix very near DTD, it's on the same road as the outlet mall, basicly behind were the old Dixie stamped was.
I would check out there web site, enter the zip code 32830 - and it should give you several near Disney. While on there you can check out there sales ad, make a list and add anything not on sale, and it will print by aisle for each store, that way you don't forget anything, and if you coupon don't forget those, also check for in store coupons as you enter the store. They have a great selection of Boar's Head deli item's and a good wine and beer selections, very fresh produce section, super clean and very helpful, great deli if you want to grab a sub on the way or to take to the airport.