Hi, I'm going to New York for a week with my brother, I have never traveled in the U.S. I don't know much about New York, so I could need a little help on hostels and such. We're planning on living cheap, since we will do nothing but sleeping in the hostel. Maybe $50 a person per night. So I guess we have to stay in a dormitory?
Do prices differ a lot from Manhattan to the areas just outside of it? Is it worth staying next to Manhattan, because public transports are so good? I heard Bronx is good, but isn't that a ghetto lol?

And also, we need some help on things to do. We are planning to go clubbing, shopping, go to museums, people watch, eat, have fun etc :P.
I like electro and DnB music, any good places for that?

We're going a week before thanksgiving - November 14th to 20th.

Any input welcomed!