Hi @David_W_Keith and welcome to the Community Forum! We already have opened topics covering some of your points; I’ve listed them below and would highly recommend adding your vote to these existing thread:
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The ability or OR search on multiple fields (or AND in the case of tags): Update Advanced Search - AND / OR Functionality
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The ability to see custom fields in the search results (even if not part of the criteria): Custom fields in search results table - #2 by Sara
For the two other feature requests (Permalink for advanced search and ability to search using greater than or less than on custom fields values); I would recommend creating two separate posts in the #productfeedback so other Forum members can vote for these features!
Again, thanks for taking the time to share these with us David! 