Hi! I have an Ed.M from HGSE, but in the Human Development and Psychology cohort. I chose it because it was a one-year program and I figured having Harvard's name on my resume would open up new opportunities (it did). The only thing I did not like about the program is the lack of a thesis track. Otherwise, it was my favorite educational experience by far. I learned so much.
That being said, this is just a one-sided account. I don't know much about the NYU program- maybe try to find someone who went there for greater perspective?