Firefox has tags for bookmarks, whereas Chrome doesn't. This can help in refining your searches.
Firefox's Awesome Bar (location bar) is superior to Chrome's Omnibar. And this matters too when it comes to bookmarks, which are automatically searched. But when typing in your location bar, you can also limit the searches just to your bookmarks by starting the search with a "*" char. You can also use "^" to limit your searches just to your history.
You don't usually need such refinement, the Awesome Bar simply does a good job by default, but given that it searches in multiple places, sometimes precision helps. See here for this trick: https://support.mozilla.org/en-US/kb/awesome-bar-search-fire...
Speaking of bookmark management, Firefox also has this neat feature: "Bookmark All Tabs". You specify a folder and it saves all of your opened tabs.
Overall I feel that Firefox has the upperhand on bookmark management. Not sure why you feel it is clumsy.
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I've used Chrome for two years and still use it from time to time, for testing purposes and because I want to see how it evolves.
That said, as a Firefox supporter, I think Firefox is superior for my usage patterns. And about its UI, believe it or not, but it was its UI that made me stick with Firefox. And I'm a Mac OS and an iOS user.