Flight
It is easiest to fly into LGA, especially if you are staying in Queens. JFK is also an option, although the transportation to Queens from JFK will be a bit longer. Both airports have shuttles and buses to take you into the city, and if you have a lot of luggage you can hop in the taxi line or schedule an Uber/Lyft.
Travel Note
There are plenty of hotels in Long Island City. If you're interested in staying somewhere close to the wedding, many of the hotels are only 2 train stops away from the venue. Make sure you check google maps to see if the hotel is close to Queens Plaza or Queensboro Plaza, both of which have subway lines that take you to the venue and into the city.
Hotel
This is the closest hotel to the wedding venue. We booked a block of rooms for guests soon so ask for the Burnham/Honorof wedding discount and rooms if you want to book here.