Aha, the Hilton Times Square! We stayed there 2 years ago on NYE. Nice hotel, but holy crap is it crazy. We stayed when Hilton was still doing a fixed point redemption, and as I recall it was 240,000 Hilton points for December 29 - January 1 (3 nights). Definitely one of the best CPP I've ever had if you're into that sort of thing. I won't do NYE there again or anywhere near Times Square though.
YOU SHOULD GO SEE HAMILTON. Think of your minimum spends! It's worth every single penny. We're going to see it again next Saturday! I do love New York. I recommend downloading the TodayTix app, you might find some discounted Broadway and Off-Broadway shows. Also, check out Broadway for Broke People (
http://www.broadwayforbrokepeople.com/) for any information you could ever want about discounted shows. Some of our favorites are Hamilton (obvs), Kinky Boots, Stomp (Off Off Broadway, at the Orpheum Theater in the East Village), and Mean Girls.
Do you need food recommendations? Of course you do! For steamed buns and ramen, look up Real Kung Fu Little Steamed Buns Ramen at W 49th and 8th Ave. Ethiopian? Meske at W 47th and 10th Ave. Don't miss The Halal Guys at 53rd and 6th (bring cash!). I'll stop now.