It's a very nice facility... the guys at my regular range (mid-Westchester) praise how nicely it's been reworked (it's actually been around for decades), but....
No firing offhand - bench only.
In rifles, only one round at a time - I don't mean slow fire... I mean only round in the magazine, whether detachable or internal. Wanna bring a Garand? Sure, no problem - just pop it in the ol' tube, and increase by 8x your chances of getting "M1 thumb."
If you have anything that looks like it's prohibited in NYS (our lovely AWB never sunset), you'll be questioned about it, and possibly arrested on the spot if you can't prove it's preban or if the LEO still think it's fishy.
They'll record your driver's license number if you're firing a centerfire rifle, and take your pistol permit# if you're shooting a handgun.
My range is closer (Ardsley/Scarsdale area), but for noise control reasons doesn't allow anything heavier than pistol caliber, or .30 carbine. But it's very laid back and friendly - and closer to NYC.
I'll make you the same offer I made to the OP... PM me if you'd like to know more...