My basic nail care routine:
I generally just use whatever nail polish remover I have to hand; perhaps I should care more about using an acetone free one, but I always wash my hand thoroughly (to remove remover residue) and moisturise my nails afterwards anyway, so I don't see it as too much of an issue.
2) Cuticle care
|My 4-way buffer and emery board|
|e.l.f. Nourishing Cuticle Pen, and Rescue Oil.|