I have never had a manicure done to my fingers
They are usually performed in a nail salon, but you can do it at home by yourself.  I've seen some nasty infections from nail salons that are not sterile.
I can imagine. I have never had a pedicure either
Basically they would file the nail, clip any dead skin, push back the cuticles, massage, and apply polish - they would do the same to the feet as well if you got a pedicure.