What skin care routine is best for me?

I’m not quite sure what kind of skin care routine I should start with. I usually get blackheads on my nose, but lately I’ve been getting deep pimples under my eyes, along my hairline, and my forehead. They’re pretty painful, and I tend to be a picker, so I figured I would nip it in the bud and just start taking better care of my skin. I have somewhat oily skin and I tend to wear makeup, and on top of that I sleep next to my boyfriend who has EXTREMELY oily skin and hair. I’m wondering what some suggestions would be for:
-face wash
-moisturizer
-eye cream
-make up remover
-serum
-anti-wrinkle cream
-emollient cream
-base

I’m not very girly, and don’t know much about brands or what’s best for oily skin. Any suggestions or recommendations would be appreciated!