Flying? There are three airports that service the NYC area: LGA, JFK, and EWR. EWR is located in New Jersey and is bit a further away so keep that in mind when booking.
Taking the Choo-Choo? You can take Amtrak or NJ transit into Penn Station, where you can hop on the LIRR to go right to the festival. You can also take Metro North into Grand Central Station, where you can hop on the 7 train to go right to the festival.
Rocking the Bus? You can take most major bus lines into Port Authority, and some smaller bus lines to other parts of the city. Just make sure your final destination is in Queens and you’ll be good.