[dmurray]

Self-hosted means you own a computer and you install their software on it. Hosted means they own the computer and run their software on it, but they allow you to have an account and store your code there.

If you don't know what you want, you probably want hosted.

[lucb1e]

Most people count a VPS or container as self hosted as well, though. You don't need to own the hardware if that's not your thing.