The Town of Fuquay-Varina is proud to be a dash more and to offer these branded items to our citizens. Shop online and pick-up items at 134 N. Main Street, Fuquay-Varina, NC. THE TOWN OF FUQUAY-VARINA DOES NOT SHIP ITEMS. ITEMS MUST BE ORDERED ONLINE AND PICKED UP AT THE JOHN W. BYRNE MUNICIPAL BUILDING.