Plugin for Advanced Search Options?

(Apologies in advance if I posted this to the wrong section!) But I want my users to be able to refine their searches beyond just the standard, single-term search bar. I wasn’t sure if there was a plug-in that would give me more options? Perhaps something that allows users to search by category and then refine by tag?

I’d like to have a page that says, for example, “What would you like to learn about?” If the user selects “Animals” (which would be a category) they would then be prompted to choose between all of the tags in that category (i.e., “Dog” or “Cat”). Selecting “Dog” would then pull up all of the articles in the “Animals” category, tagged “Dog”.

Is there a plug-in that could help me accomplish this? Or do I need to approach it a different way?

Thanks so much!

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