Whats the cheapest and most practical way to go from JFK to my hotel near central park?
Those are your two main alternatives, cabs and subway. The best thing to do is to take a cab from JFK to the nearest subway line, which is the “A”Train which makes a stop at the JFK Howard Beach Station. There might be a shuttle bus which runs from the terminals to this station as well, you’d have to check at the airport. The A Train will run all the way into Manhattan and makes a stop at 96th Street on the west side of Central Park. If you want the east side of Central Park change trains at the Bway-Nassau Street station for the 4,5,6 train which will also stop at 96 Street, but then you’d have to walk a Block west on 96.