No matter where you travel around the world, there’s something about summer in the Hamptons that just feels like home. From the barbecues and idyllic days on the beach, to the runs to pay $20 for a pint of strawberries at Round Swamp Farm, this is where life is good every day. But also, every year, the Hamptons keep it interesting by rolling out a wave of new restaurants that will grace the East End this summer. 1. Mary Lou’s The Palm Beach hit is coming to Montauk. Mary Lou’s Montauk is set to open this summer at 474 West Lake Drive (previous N’AMO location), bringing more coastal dining and vibrant nightlife to the Hamptons. And, it’s rumored to be opening as early as the first week of June. 2. Bagatelle Bagatelle’s newest 13th location is going to be Montauk, and it’s going to now. Yes, you read that right. Bagatelle Montauk is opening this June. And honestly, the French Riviera-inspired brand will fit in perfectly in Montauk’s historic Gosman’s Dock. We’re ready to see some Bagatelle brunches in the East End. 3. Gigi’s Montauk Gurney’s Montauk Resort and Seawater Spa is a Hamptons staple. The resort, best known for…