If you plan on eating in occasionally, you may want to stay in a resort that is located near the grocery store. The restaurants and cabs tend to be a bit on the expensive side so making use of the kitchen in your room (if you have one) is a good idea.
The grocery store that is closest to the resorts is the Graceway IGA Grocery. The groceries here are more expensive than you will find in your local neighborhood, but it still saves money over eating out at restaurants each day.
The closest resort to the grocery store is Seven Stars Resort. From there you can start to work your way down the beach to the next closest resorts. If you head east down the beach, both Ocean Club West and Grace Bay Club are within walking distance. If you head west the Regent Grand, Villa Renaissance, Le Vele, and possibly the Sands are within walking distance.
All of these resorts are near the best shopping and dining on the island. Walking or riding a bicycle is easy to do to get to Salt Mills Plaza and the Regent Village which contain a variety of shops and restaurants.
You cannot go wrong with any of the resorts listed above and will have a wonderful time in paradise. Enjoy!