Try Brooklyn.
New Jersey would be a little to far, i mean its a whole other stateyou might want to try a hotel in queens its away from the city and u can take the subway to the city.A good 1 in queens might be http://www.marriott.com/hotels/travel/lgafi-fairfield-inn-new-york-laguardia-airport-flushing/
I disagree with the last post. Jersey City, is just a 10 to 15 minute train ride from Midtown and Lower Manhattan. You can take the PATH Train from any station in Jersey City to the World Trade Center or to 33rd Street. The fare is on $1.75 each way, which cheaper than taking a taxi into the city.In regards to hotels in Jersey City, depending on your budget, may I recommend the link below.Good luck and happy holidayNative New Yorker