What kind of pills or treatment can somebody get for paronychia?

I&D if needed. See your doctor if the paronychia doesn't resolve in a few days or gets severely painful swollen and warm. A pus pocket might have formed and no amount of antibiotic will make it better- it may need to be lanced (i.e. Incised and drained).
Antibiotics. A paronychia is an infection of the nail bed, usually due to staphylococcus. If may need drainage. Antibiotics are usually used as well. Soaking afterward helps. Paronychia is very painful - don't try to suffer with it at home.