i was in the NYU MA program
I would recommend going to the PhD. Firstly, it is extremely expensive, for 2 years you're looking at loans approaching 100k including everything.
The classes were easy, not challenging, easy to get As. For the most part, the teachers are laid back, not too involved, probably jsut doing this to make a quick buck.
A good thing is that you're right in the middle of Manhattan, there are a lot of opportunities to do research.
A bad thing is that most the classes you take will not transfer to a different PhD program, and also that most PhD programs offer a Masters along the way.
Chances of getting your name on a publication seem slim, at least if you're doing it through NYU, mostly the research you'll be doing will be the same thing that the undergrads are doing (helping PhD students at NYU do their research), unless you're very proficient at statistics, or the people youre working with are very generous
most people go to this program because they are not qualified enough to get into a PhD program (not enough research, not enough psychology coursework, etc.)
but seeing that you've been accepted into a PhD, that seems like the best bet
Ultimately, you're looking at spending 2 years and close to $100,000 on something which you will have to do over again if you go PhD. Also, an MA in General Psychology is pretty much the same as a B.A./B.S., not much you can do with it.