Bearblog is simple and easy for personal blogging. For something more advanced, you can't go wrong with Ghost (self-hosted or cloud).
To block AI bots, you'll need to add known AI bots[1] to your blog's robots.txt file [2].
[1] https://github.com/ai-robots-txt/ai.robots.txt/blob/main/rob...
[2] https://docs.bearblog.dev/neat-bear-features/#edit-robotstxt or https://ghost.org/help/modifying-robots-txt/