Travel Note
If you're staying around where we suggest and plan on taking a cab/Uber/Lyft from the airport, JFK and LaGuardia are probably equally convenient. If you plan on taking the subway, JFK is the best option. Newark is fine, too, but it will take you longer to get to Brooklyn.
Travel Note
We recommend staying in Brooklyn within 5 or 10 minutes of the Brooklyn Bridge or Manhattan Bridge. There are several good hotel options around here, and it should be about a 15 minute cab/Uber/Lyft ride to Liberty Warehouse. All cabs take credit cards. Due to how many options there are in NYC, we have chosen not to block any rooms. But we've listed 3 options below in the area where we suggest staying
Hotel
Aloft is operated by Marriott and is a good affordable option for the area.
Hotel
This is a good moderately priced hotel for the area.
Hotel
Good option for a more boutique hotel feel.