I’m not using Obsidian atm, but my approach is simply to store them in normal notes. So if I have e.g. a topic.md file I’d make a section called `# Links` there which I can click on. That makes it easier to rediscover links in the right context.
(I’m currently using Org-mode, but the approach is the same.)
You could use Obsidian Web Clipper to save pages from your browser and then make a base that filters based on the folder or tag you use for your bookmarks.