When it comes to fixer, most use the same fixer for film and paper, although many use different dilutions (with film fixer being more concentrated).

If you re-use fixer, you shouldn't fix paper in fixer that has previously been used for film (and vice-versa).

I may be the only person I know who uses different stop bath for film and fixer - Kodak for film, and Ilford for paper. I do that because once diluted to working strength Kodak stop bath (acetic acid) is considerably cheaper, but Ilford stop bath (citric acid) smells much better .