Chinatown is roughly Vine/Race/Arch Streets, from about 7th/8th to Broad. It's a nice area and accessible by the MFL (one of the two subway lines running through the city). Hope this helps!
If your adviser has a grant than it is probably negotiable. Even if not, you can always ask. I don't think I would phrase it as asking them to make their offer as more interesting to you. Rather, I would mention that although they are your first choice (only say this if true!), you are forced to contemplate an offer from a school you prefer less due to financial concerns. They should be able to pick up the elephant hint, or you could ask if there are any fellowships you may be able to receive or whatever (I did this and received more money as well as a small fellowship).