Rental Car major companies have stations in each terminal at the airports, these are located in arrivals, they also offer free shuttle service to places to pick up the car.
Enterprise Rent-A-Car JFK INTL ARPT BUILDING 69 FEDERAL CIRCLE JAMAICA, NY 11430-1510 Tel (718) 553-7013
Schedule: Monday - Sunday 6:00 am 11:59 pm
Enterprise Rent-A-Car LAGUARDIA ARPT 8334 23RD AVE EAST ELMHURST, NY 11370-1659 Phone: (718) 457-2900
Schedule: Mo-Su 6:00 am 11:30 pm.
Enterprise Rent-A-Car NEWARK LIBERTY INTL ARPT 25 NEWARK AIRPORT BLDG 25 NEWARK, NJ 07114-3707 Phone (973) 792-0312
Schedule: Mo-Su 6:00 am 11:59 pm.
Try renting the vehicle online, before arriving at the airport, this way you could have a discount on rental prices, be sure to use a credit card and no debit to avoid inconvenience when you are giving back the car.