First of all, congrats!
I faced the same choice last year and now I am in NYU's general psych program.
I have to say, both programs are good in general. And most people I know from these two programs are trying to apply to PhD after graduation. I think the structure of the two programs are quite similar, but vaguely remember that TC's program seem to offer more classes yo choose from (not quite sure on this since the search was done over a year ago). And actually no matter which program you are in, you can work in the other program's (and many other universities and hospitals in NYC) labs that best suit your research interests. I know people from TC working with professors at NYU and people in my program working at TC's lab. So in this regard, you could be very flexible!
One thing, though, I think make NYU's program a little bit better is that I heard some courses at TC are taught by Phd students while all the courses here at NYU are taught by faculty members. It's not necessary a bad thing to take classes taught by Phd students but more like personal preference to me. Some Phd students may have better teaching skills than professors since professors are generally more focused on their research. Another thing I took into consideration when I made the choice is that I feel like TC has this somehow loose and independent relationships with Columbia, which in some cases make them look like two different schools (for instance, TC and Columbia have different GRE school code). I just had a weird feeling about this back then but it doesn't have to be an issue while considering which program to go.
But either way, welcome to NYC! (If you are not a New Yorker already)