Wölffer Estate’s inaugural Holiday Market & Winter Wonderland offers ice skating, games and music, among merriment, throughout December. This weekend’s activities include Santa is Flying into Herrick Park, “The Polar Express” at East Hampton Cinema, and Magic of Montauk Holiday Celebration with a fair and boat parade. Visit Longhouse Illuminated on December 9, 10, 16 and 17. 139 Sagg Road, Sagaponack, N.Y., 11962. 67 Newtown Lane, East Hampton, N.Y., 11937. 30-38 Main Street, East Hampton, N.Y., 11937. 133 Hands Creek Road, East Hampton, N.Y., 11937.