La Guardia (LGA) 19 miles:
Closest and fairly convenient getting in and out of. Probably the best, if you'll be taking cabs instead of renting a vehicle.
JFK (JFK) 23 miles:
Big, and can be somewhat of pain getting in and out of, but lots of flights.
Islip Macarthur (ISP) 33 miles:
Small and nice, but not particularly close. Probably not the best if taking cabs. Southwest flies here. Delta and American do as well but not many flights.
Wheatley Plaza is just west on Northern Blvd a mile or so
and has a Ben's Kosher Deli, Starbucks, Pathmark grocery store
Moe's burritos a couple miles west on Northern Blvd at intersection with Glen Cove Road (across the street from Wheatley Plaza). There's a Wendy's and Burger King in the same general area.
Just north on Glen Cove Road on the left side is a fancy deli and Sarin Thai restaurant. On the right side is a KFC/Taco Bell, and some pizza places