I had DD at SLR in Feb. I can't find the original post I wrote with tips, but I'll summarize it for you.
Great nurses, great hospital. Had all my prenatal testing, etc. done there also and everyone was wonderful. No complaints.
Here's what's not great:
Semi-private rooms. I guess it depends on who your roommate is, but I got stuck with very loud woman with a ton of very loud family for 2 days. Private rooms are available, but cost $750 per night, so wasn't an option for me. If it's not an option for you either, BRING CLOROX WIPES with you! Shared room = shared bathroom. Can get yucky. There is a lounge on the floor - use it. It was empty 99% of the time. Had meals with DD and DH there instead of staying in my loud room.
Feel free to page me with any specific questions.
I think that all of the NYC hospitals have shared rooms - it varies on how much they charge for private rooms. I think Weill Cornell is $450/day.