While in NY don't miss the Radio City Christmas Show (#1 don't miss), Rockefeller Center vibe/shopping/skating, FAO Schwartz toy store, Paragon Sports sporting goods, Soho, and ice skating in Central Park. Also visit one of the famous deli's, Katz's or Carnegie, for a corned beef sandwich, matzah ball soup and side of knish.(note: order 1 for 2)
Great list! Reminds me of Christmas growing up in NYC, especially looking at the displays in the stores along Fifth Avenue. Not only FAO Schwartz but also Tiffany's. Central Park is where I learned to ice skate.
Needless to say, in NYC you do not want to bother with a car. Public transit can get you anywhere. Pretty sure there are transit passes that give you unlimited access. Taking a boat tour around Manhattan is worth considering.