If you're staying at the Hyatt, this is right next door. Go see some fishes!
Dip your toes in the water.
Take the ferry over and make a day of it.
Delicious high-end food.
Good tacos are hard to find on Long Island.
Good for hangover breakfast.
The North Fork of Long Island is known for good wine... all the vineyards listed below come highly recommended, and would make for a great vineyard tour.