I use Fossil for self hosting code on my own domain, it's running on a fan-less PC with daily backups to the cloud using restic. It's just so nice, no social pressure and it works for me when the internet is down. I am currently in the process of setting up Concourse CI, it's a really nice config driven ci system.

Also, it doesn't have to be a "one or the other" thing, you can use both GitHub and self hosted for different things. That's what I do, GitHub is for work and things I want to be social, and my own hosting is for private code or code that I want to share in a "take it or leave it" kinda way without any of the social stuff.

I highly recommend hosting your own git/fossil/etc... system for yourself. Think of it like your own little place that you can setup exactly as you like.