You can clean those "scratches" off ceramic dinnerware
I can't believe I didn't know this earlier!
Do you have ceramic mugs and stuff that look kind of like this, with streaks caused by silverware and whatnot?

I assumed the ceramic was getting scratched and slowly ruined, which bummed me out because I bought my wife a nice set of mugs last Christmas, and they were all starting to look like this. To my delight, I learned that these streaks are actually just superficial metal deposits from the silverware that can be removed with a cleaner like Barkeeper's Friend.
I cleaned up our mugs and they look good as new!