north
An easier way to remove chlorine from baths, a way that I trust (but you judge for yourself) is to go to the pet shop and buy anti-chlorine drops made for aquariums - check the labels and look for one that only states that is is an anti-chlorine drop, not that it has any additional things added for other fish-related functions. If this doesn't make sense, it probably will when you are standing in the pet shop reading the labels. At least one brand in my local store is just for clearing out chlorine (and I think it says that it clears heavy metals too), and doesn't have other chemicals added. The way it works: an ingredient in the drops binds with chlorine to make a much larger molecule, that can't penetrate skin (and apparentl can't penetrate fish scales either!)
And does it contain anything toxic? the label does not state what ingredient it has that is doing the job. However, I would think that by combining with chlorine to make a larger molecule that doesn't readily penetrate skin, you are also avoiding that other compound from penetrating the skin. It's a guess, of course. To me it is worth it because the chlorine smell goes away.
The label will say how many drops per gallon to neutralize chlorine. Do a estimate of the gallons you typically use in your bathtub, and voila. I'm sensitve to the smell of chlorine, and after I use these drops, my bath doens't smell anymore. But judge for yourself.