Smart move. I’m in the process of switching over to drinking more distilled water, which does have a bad taste at first. But you can buy distillers that boil the water and capture the steam which is 100% pure water. If you’re rich enough, you can even buy systems that do that for all water sources in your house. My dream house, I guess.
Get a Big Berkey gravity filter with both black and white filters. It takes out pretty much everything including fluoride and arsenic.