Then browse the vintage-style Montauk souvenir T-shirts and hoodies at Montauk Mainstay (montaukmainstay.com). Don’t miss the sunset on the deck of hipster hotspot the Surf Lodge (thesurflodge.com).

It’s been the talk of the beach all summer. Surfers at Ditch Plains Beach, a part of Montauk known for its consistent waves.Credit...Kenyon Anderson for The New York Times Supported by By Steven ...