Publix 5642 Fishhawk Crossing Blvd, Lithia, FL33547 Publix grocery store is a wonderful place to get all of the groceries you need for your family and still save money. It…More has fabulous BOGO offers every week where you can stock up and really sweep up the savings. It also has the freshest meats and produce around. Try some of the fresh-baked bread and cakes in the bakery department while you're there. Publix also has a full-service pharmacy right in the store so you can pick up the prescriptions you need while you shop.