Some solid food choices above. You really can't go wrong with food in NYC unless you want good wings then there are only a couple places that are adequate.
Not sure what type of going out scene you are into but on the lower east side the following places are my frequent stomps and are mostly dive to a little better than dive bars:
Sixth Ward (Trivia Night on Tuesdays, Back Patio, Pool Table), Whiskey Ward (for the Whiskey of course), Boss Tweeds (Reminds you of a small college bar that's cheap and has pop a shot, darts, pong tables and back patio), Dempseys (sports bar), One and One (pitcher deals and late night happy hour) and my favorite a small place National Underground (music every night, hipster specials - $5 pbr/sierra nevada can and whiskey shot, live karaoke band on some nights including a guy who plays with Huey Lewis and the News, another who is usually on tour with Bieber and is owned by Gavin DeGraw who is in there quite often)