Carolina Riverfront Pleasures. Fairfield Harbour sits along the banks of the Neuse River in charming New Bern, a city dating back to 1710. You’ll enjoy a full array of amenities here, ranging from land and water sports to river cruises, live entertainment and more — as well as the chance to explore almost 300 years of historical treasures, including hundreds of homes and shops listed on the National Register of Historic Places.