A friend who is a dermatologist actually recommended the Baby Foot peel (which is essentially an exfoliant) in lieu of pedicures during covid. It might be worth starting there.
The pedicure is also not a bad idea. Where I live, nail places are highly regulated and use single use plastic liners in the tub and autoclave and seal all of their tools. You could also look at buying your own tools for them to use. And don’t bother having polish put on - just have them “buff” your nails. They’ll look nice. I also don’t let them trim much from the sides/cuticles (?) of my toenails - the edge of your nails on the side. That area can get infected easily. When they start there, just say you don’t want them to trim that area.
And now I will gracefully exit this conversation because (other people’s) feet gross me out!!! Good luck! 
Jessica