I really like NY, not only for travel but for living as well. When I was looking for an apartment right there, I faced with a really good site
https://outpost-club.com/new-york where you can without any problems get in touch with specialists who will be helping with finding a proper solution. There you can easily rent a room for living - for a month, or even more. I recommend to use their useful help if you are considering to spare your money.