How exciting for you and your husband! Like many metropolitan areas across the US, the New York metropolitan area has an extraordinary large radius spanning upwards of 100 miles.
While the metro epicenter includes NY, NJ and CT, there are folks who commute into Manhattan from beyond. There are several Residence Inns throughout the region. Most are located near the major corporate corridors clustered around the city, but there is only one Residence Inn in Manhattan on Avenue of the Americas in Midtown.
Since longer stays are involved, consider thinking about how one experiences New York from airport arrival, car pickup/drop-off through the day-to-day. For example, although the Residence Inn in East Rutherford, NJ is within 8 miles of Midtown, crossing the Lincoln Tunnel can involve a 45 minute commute by bus. The Residence Inn New Rochelle is within 15 miles and takes about an hour commute by train using Metro North.
If a car rental is involved, consider $50 - 60 dollars per day in Midtown versus complimentary parking onsite outside of the city. Also consider the tolls, Manhattan is an island connected by bridges and tunnels.
While there are many delis and dining venues in Midtown, the closest supermarket to the Residence Inn Times Square may be Greenwich Village. In contrast, East Rutherford and New Rochelle feel suburban and relaxed.
Good luck and best wishes for a successful transition to New York!