It's wonderful for your cat that you comb her every day. A few furs coming
off on the comb is okay as long as she has plenty of fur left.

A flake or two is normal. When one of my cats goes to the veterinarian she
gets a lot of flakes due to nervousness.

I would get a cat nail clipper and just carefully clip off the sharp ends of
her nails so they don't get caught in the carpet.

Enjoy your new cat!

--
Barb
Of course I don't look busy,
I did it right the first time.