Publix is an outstanding grocery chain. They carry top quality meats, vegetables, bakery, deli, and a huge wine selection. They have specials and sales that are comparable to any other chain without comprimising quality.
No, I don't work for Publix but got hooked on them during the fifteen years we lived in Sarasota; now that we live in VA, a visit to Publix is as important and fun as our several yearly visits to WDW.
There is a new store on I-Drive within five miles of LBV -- if you don't have a car perhaps a cab ride would be worth the expense.