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@Greyparrot
I don't know that I'd make a lot of changes to local property tax codes, beyond the obvious points of having both a state and local property tax; the state property tax would fund schools, and other common resources like community colleges, police, libraries, and infrastructure improvements in general.
Education is the big one, though. With tax bases varying so acutely from zip code to zip code, there are a lot of American kids who get the short end of the stick when it comes to preparing them for meaningful participation in the society. That's not just a problem for the locality, but for each state and the country as a whole.
Nothing is more important than investing in human capital, after all. Infrastructure is a close second.
Tax cuts for millionaires and billionaires, and handouts to multinational Republican donating companies doesn't even make the list.