The Hamptons are hopping with holiday merriment and that includes It’s A Wonderful Village in Southampton. Head to its Village Hall for horse-and-buggy rides on December 14 from 12-3 p.m., and its Rogers Memorial Library for Santa visits from 2-4 p.m. at Southampton Cultural Center screens “The Polar Express” with a bake sale on the same day. 23 Main Street. 91 Coopers Farm Road. 25 Pond Lane; 631.287.4377; scc-arts.org. southamptonchamber.com