Right next to the resort (before you get to the Disney turn-off), there is a shopping area (everything is behind trees, so it is easy to miss) and a mall. There are roadways to the resort from this mall without even getting on the main highway. Anyway, there is a Piggly Wiggly grocery store with good prices. Ask at the Customer Service counter for a vacation shopping card so you can get the current discounts. This is in the same shopping area where Fudruckers is, I believe. I think that it is the closest supermarket to Disney.