I've got two dogs: one's half staff and half pit bull which I got from a rescue centre after taking pity on her as no one wanted her. The other is hybrid American bulldog I got as a puppy as Mrs Clam thought she was cute. Anyway they had a major fight the other day some three years after living in peace. There was plenty of blood and I cleaned them up, but next day it was down the vets for the two of them, primarily to get some antibiotics. That's what I'd recommend. Any wounds then look for potential infection and treat accordingly. I've attempted to cut nails myself, usually with lots of aggrevation, but nothing beats walking them on tarmac. The nails soon wear down. Unless they have white nails, it's no easy task. Hope they're ok.
Clam