Hey @photonicpro great questions!
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Yes you can definitely filter them by using tabs with filtered lists in each tab: https://help.webflow.com/video-tutorial/filtering-dynamic-lists-in-webflow. If you go the dropdown style, you’d have to link them to new pages or add in manual interactions to display different lists on the page which could get a little hairy and difficult to remember the complete organization.
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Adding a search bar, I would reference the Findberry tutorial: How to integrate FindBerry search engine with Webflow site - Webflow Tips - Forum | Webflow