As you all know, when I was an intern in NYC, I stayed at the NYU Dorms. I had an amazing experience as NYU opens their dorms to non-students & interns over the summer. Not only were my parents reassured of my safety in the big city (because we had a security guard) but I was also able to get on NYU's meal plan and use the gym. I ended up saving lots of money living in the NYU Dorms and not living somewhere by myself in the city.
The official applications to live at the NYU Dorms this summer will go up the last week of February. Please check my site for more information. These fill up very FAST so I suggest applying early. Also, they will be doing an open house in New York City on February 15th if you live in the area and want to check out the dorms and go to the info session. They'll be showing one or two rooms after the info session.
To get more information please visit: http://www.nyu.edu/summer/housing/. Please comment here if you have any questions!