If you're looking for a real New York experience, I would absolutely recommend staying at B.s place.
The area is safe but not boring, with bars and delis within minutes, and Central Park two blocks away. The apartment is exactly as described in the pictures. Be aware that somebody normally actually lives here (this is what AirBnB should be like!) - so their personal belongings are around, but there is still enough space to store your things. Alan, who manages the apartment, is super nice and responds to texts immediately.
We stayed here for a week and were sad when it was over!