I keep bookmarks as a Markdown file so I can sync it using Syncthing. I use either Obsidian or KRunner (desktop-only, similar to mac's Spotlight) to open bookmarks. It's been working well enough for me.

The KRunner plugin I use doesn't have a comprehensive Markdown parser, but it works great with the format I've been using. https://github.com/andrewrabert/krunner-markdown-bookmarks Ex:

  # Bookmarks
  ## Code
  - [GitHub](https://github.com)
  - [GitLab - Arch Linux](https://gitlab.archlinux.org)
  ## Social
  - [Hacker News](https://news.ycombinator.com)
  - [Reddit](https://www.reddit.com)