The quick way is by helicopter.The only reasonably priced way that does not usually result in getting caught in traffic is by train (subway or LIRR to Jamaica, then the AirTrain).There are also buses, taxis, etc., all of which usually get caught in traffic.
Take any # 7 subway to 61st St Woodside Go downstairs to the bridge level and either use a Ticket Vending Machine -TVM - or [if open ] the Long Island Rail Road ticket office to buy a ticket to Jamaica [1 stop ] and then the AirTrain toJFKhttp://lirr42.mta.info/sfweb/faces/depar��When you exit the LIRR at Jamaica the AirTrain will be above youEven if cost was no object using public transportation is much faster than taking a cab or a shuttle busIf you wanted to save a couple of bucks on the LIRR you could take the #7 to 74th St Jackson Heights and then go down and find the E train to Sutphin Blvd /Jamaica Stationhttp://mta.info/nyct/service/eline.htmThe hour of the day and amount luggage you have will be the determining factorTrying to board a rush-hour subway car when you re laden with luggage can be a daunting task that may not make you the most popular person on boardThe LIRR option by comparison is much easier
There is a bus that goes from Grand Central to both airports. It takes about an hour though so I d leave a bit early but it s half the cost of a taxi. I think it s on the 45th street side across the street.
By taxi.
the sky train will take you- and its free