Your budget of 2 BD is a little tight in a good neighborhood of Manhattan.
I have a brand new 2BD in Sunnyside of Queens, very neat and good neighborhood, 2 minutes to subway station and 15 minutes to Midtown Manhattan. If you are interested, please flee free to contact me. firstname.lastname@example.org
Just as a frame of reference.....his first apartment, in Murray Hill (east 30's) was $4500 for an updated, large corner 2 bedroom, 2 bth (with "L" dining area), and that was a number of years ago.....I believe there are some 2 br/1 bth apts. - on lower floors - in the $3500 range (no utilities included) in his current bldg. When they become available, they rent fast.
The rental market in Manhattan is very brisk.
Realistically - you may have to increase your budget to get a 2 BR, certainly in a doorman, luxury building........and especially if you want utilities to be factored into your total cost.
If you're ok with a walk up apartment, or a non-doorman building, then you may have more options.
I am sure one of the Manhattan agents will give you an overview of the neighborhoods so you can make a decision. Your price range may very well dictate what is and isn't an option.
I have a complete neighborhood guide to NYC that delineates pros and cons of various neighborhoods - as well as a great deal of additional info on each. Email me at email@example.com if you would like a copy. It should help you get, at the very least, a better sense of what each part of NYC is about.
Have a nice day,
Luis Sanchez, License Agent
I'd be happy to assist you in your search. Please contact me at 646-730-3570 or firstname.lastname@example.org. I have some neighborhoods in mind to squeeze the most out of your budget while making a safe, enjoyable and suitable home.
I would be more than happy to take you around to different neighborhoods and show you what is out on the market.
Please feel free to call or email any time.
Bond New York
Licensed Real Estate Salesperson