If you're trying to add a little more seasoning you will need to bake. You'd do this after a rough cleaning or cooking something watery or acidic. If you're just protecting it from ambient moisture just a teensy coat.

> No need to bake in the oven or anything like that?

Correct.

I will sometimes do the oil and bake thing for our Dutch oven if it has been neglected a while and has bits of rust or other questionable-ness to it.

Just wash it like normal, stuff that comes off is charred food etc. aka 'dirt'. The actual polymerised seasoning isn't going to come off with a bit of water and washing up liquid.