I also have a website with other things here and there [5].
The blog itself is literally a git repository, browsable here[1]. Whenever I push, it runs a git hook that executes build commands. The blog is composed of markdown files.
All the blog can be rebuilt by following the instructions and is meant to be as platform-agnostic as possible, meaning you could host it under any webserver under any path, links are relative, etc.
The blog system I use is blogit [2]; originally created by Pedantic software but has been heavily modified by yours truly[4]. Under the hood it's literally a makefile, unix `sed,grep,etc` to make tagging and other static stuff. It uses the markdown parser discount[3] to parse markdown into html. It is fully static and you can deploy it and just put a simple python http server on it. I use lighttpd, because I have some services set up.
[0] https://blog.thetrevor.tech/
[1] https://git-trevcan.duckdns.org/trevcan.github.io.git/
[2] https://pedantic.software/git/blogit
[3] https://github.com/Orc/discount
[4] I have this repo: https://git.trevcan.duckdns.org/blogit.git/ but it's not updated, check out the blog repo, the blogit makefile is there.