Central Market is a few blocks from this home. People go to the store for its fresh produce, large meat market, variety of wine and beer, chef prepared selection, open patio, and for special events. See http://www.centralmarket.com/Home.aspx?store=fort_worth
Just a little further down Hulen St. you will find Trader Joe's a store similar to Central Market, but a little less expensive. http://www.traderjoes.com/
If you're looking for a more traditional grocery store - there is a Tom Thumb just a few blocks south of Trader Joe's, about 5 minutes from the home.