Yes, I’ve been concerned about showering in Chlorinated water for several years now. There’s evidence that your body absorbs this chlorine through the skin. I don’t know the solution, other than a reverse osmosis water system, and those are expensive and wasteful.
Install a whole house. charcoal filter. It removes chlorine. It will also make your coffee taste better if you
Use tap water to brew it
I don’t know the solution
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I think vitamin c deactivates chlorine. There are accessories you can connect to your shower that add vitamin c to the water.