How do you guys deal with dishes on Shabbat?

I’m steadily trying to get closer to being shomer shabbos (which will include not checking the responses to this post until Sunday, whoops) but one thing that’s giving me trouble is cleanliness. Even if I clean everything before Shabbat, I end up going to bed with dishes in the sink. This stresses me out pretty badly. I have a history of letting things get TOO dirty so I’ve been trying to keep everything as clean as possible and it’s been going well… until Shabbat. What does everyone else do? I can’t just put the dishes somewhere else because I live in a pretty small apartment (the only place I could put them would be, like, the bathtub or something and that feels unreasonable) and I won’t need the same dishes for later on Shabbat, so what’s the solution?