The academic medical centers of NYMC are Westchester Medical Center and St. Vincent's (in NYC). Most clinical rotations, staff, residency programs etc come from those two hospitals. Both are level 1 trauma centers. Westchester Medical Center has a brand new children's hospital and a burn center.
Metropolitan hospital (NYC) and Danbury Hospital (Connecticut) are university hospitals of NYMC. Danbury is also affiliated with UConn and Yale, and I believe they provide free housing. Not bad, eh?
The full list of affiliates is here:
http://nymc.edu/AboutNYMC/AffiliatedHospitalsAndOrganizations/index.html
I'm surprised more of you don't read the "about NYMC" section of the website. You are, after all, applying to this school.