How do you wash your kiddush cup?

This feels like such a silly question to post. We didn’t do Shabbat growing up so I’ve just guessed at it. I rinse ours with water, maybe a little dish soap if there’s grape juice residue (the highlight of my toddler’s week) and dry. It’s a little tarnished, so I’d like to zap that but don’t know the most food-safe option.

Is there anything more/less I should do?

(Also patting myself on the back since I’ve been meaning to ask this for weeks, but every time I’ve thought to do it it’s been Shabbat.)