Charming Winter Rental by the Bay: This freshly-renovated cottage sits on a quiet street in Remsenburg, just a stone’s throw from the bay. It offers a sun-filled environment with an open living area, dining room, office, den and two bedrooms. A great retreat for the winter months, this cozy home can be your headquarters for exploring the many villages, beaches, and cultural activities that the Hamptons have to offer. Available from October through May.