"There is a new water filter that advertises it cleans out the solids from tapwater "
What is the filter's name? I've read somewhere, that charcoal filters DO filter out some fluoride, how much, I don't know. Like you, I thought only fancy RO filters did that. However, I've run across other filter companies that have a 2-3 or 4 filter system that do take out fluoride. I just haven't had the money to investigate further.