Oh man, I feel you on the funky tap water struggle! A few years back, I was living in an older apartment building and the water had this intense chlorine smell and taste that was just brutal. It was like doing a cannonball into the pool every time I went for a glass of water.
I tried all sorts of pitcher filters and they helped a bit, but never fully got rid of that overpowering chemical taste. That's when a friend recommended upgrading to a proper fridge filter instead. She had gotten the Samsung Water Filter for her kitchen and raved about how it completely transformed her water quality.