Embassy Suites are a good chain of suite hotels (and they are part of the Hilton group).
Also they do a free cooked breakfast!!.
Weblink is below:-
embassysuites1.hilton.com/en_US/es/hotel/NYCNYES-Embassy-Suites-New-York-New-York/index.do
I'd buy tickets in advance from the box office online (you will need to present photo id when you collect the tickets) particularly if the show is popular.
You need also to be aware that the US will bring in their "Travel Authorisation" scheme from January - you will need to apply for each visa waiver online.