I've got a VPS and domain I've had for a long time - for most of these, docker compose + the VPS did the job just fine. I was in the same boat - I'd fallen behind on a lot of the ops stack, and project setup wound up being a tar pit for a couple projects before I got frustrated and just said "Fuck it" and did it the dumb way, which wound up being the correct approach.

I found the trick with the personal projects was to pick the thing I was trying to learn with that project and focus on that - if I was trying to learn React, don't also try to learn kubernetes or lambdas or anything else. You really have to be comfortable with your project kind of sucking for all this to work.

So I'd say if you want to learn proper modern deploy + CI/CD + etc, take a project where you already know the rest of the stack (hell, make it Hello World if you have to) and use that. Keep things simple and in scope, get something stupid working, and then iterate to make it better.