DR Ginny - I LOVE New York City in January. It's always been my favorite time to go. It's sort of neat watching the city slow down a little due to the cold, wind, snow, slush, etc. And there's nothing like walking down Broadway from 103rd to Times Square - Natural Dermabrasion!
And the hotel rates get silly low! My favorite place to stay, The Skyline Hotel, has offered their nice, big room for as low as $75/night! And they'll even throw in the parking sometimes!