Here are some ideas for parking when flying out of JFK or LGA, or even EWR:
—Take a car service to and from the airport
—Park in the JFK On-Airport Long-Term Lot 9/Economy Lot, located at Lefferts Blvd., approx. 4 miles from the terminals
—Park at an off site parking complex. For example, here is one company that services LGA & JFK:
SmartPark is your intelligent choice for long and short-term JFK airport valet parking.
smartparkparking.com
—Park at a hotel. You can stay the night before your flight, the night your flight returns or you don’t have to stay at the hotel at all. The link below if for a company that will book this for you. I have found that you can visit the hotel’s website or even call the hotel to see if you can get a better deal. Also check Groupon for discounts.
The #1 website to compare and book airport hotel park sleep and fly packages. One night's accommodation with up to 14 or more days of airport parking with our park stay and fly plans.
parksleepfly.com
—Find a good friend in Queens and park in his driveway for the week