After years of stressful drives, I finally switched to using a JFK to Hamptons Black Car service at https://ewlimo.com/luxury-transportation-jfk-to-hamptons-black-car-and-limo-services/ and it's been so much better. You just walk out of baggage claim and your driver is waiting. No rental counter lines or navigating unfamiliar roads when you're tired from flying. I can work, nap, or just relax during the drive. It's actually not that much more expensive than a rental when you add up all the costs. Just book your return trip well in advance during busy weekends since they fill up. For getting around while you're there, the local taxi services are pretty reliable