where on long island do you surf? I'm from long island too, usually head out to Lido West.
As for what you're saying, you really can't ride anything that breaks on shore. Yeah, it's fun when learning as the whitewater can push you inward, but if you're really trying to surf, you need to go out back past the shore break. It's something that takes time to learn where to go, and a lot of "studying" the water and what the waves are doing. If I were you, I would head out one day and watch other surfers, where they are, and what position they are in in the water. There is a special spot at the break where you want to be when the wave begins to lift you (spot x; by the way this video is incredibly useful
http://www.youtube.com/watch?v=4HbhKSMSkOo)
The surf we get isn't usually big, although there usually is a couple of spots on the beach where you can be out back and comfortably catch some good waves. For me, my problem with learning how to catch was timing. You need to know when to move your weight forward, as well as when to start paddling really hard to make sure you stay on the wave and begin falling down it. That, combined with correct positioning (making sure you're at spot x) is how you consistently catch waves. (And with a 9 foot board, you definitely can grab a lot of the small stuff we get).