I've been there a few times. Going to have to pop in a few stores to find the ones with good faux fur, but there isn't anything that's strictly a faux fur supplier. You want to look mostly on 39th and 40th Streets, between 7th and 8th Avenues.
There's one BIG one I know of that has the best selection of fur on the second floor. Off the top of my head I don't know the name of it, but its got a big window display and they have all kinds of fabrics. Mostly asian ladies working there, and I hear you can haggle a bit to lower the price.

Don't be afraid to ask questions, even if its trying to find another fur supplying store! As long as you're polite, they're usually more than willing to point you in the right direction.
Hope I covered everything and this helps you a bit!

ah thank you so so much!! <3 <3 <3
would you like anything? a sketch a tail? I can't thank you enough!

You're most certainly welcome! I looked around and found this article that might help a bit more (seems to have been updated just this year!) http://paulanadelstern.com/fabric/guides/index.php

Oh gosh, you don't have to do that! I wouldn't even know what to ask for, lol. I might bug you in the distant future for pointers on minor costume construction if that's okay
^ u ^
I really hope you find what you're looking for. If you need any more help or want to know cool places to look for stuff (maybe taxidermy claws?), let me know!

ask me anything! I don't mind! I'm not going personally (sending my associate who lives in NY) so hopefully she can find everything!

BUG ME ALL YOU WANT :D

I'll send you a note, thank youuuu ^ u ^!

not a problem! thank youuuuuu!