I don't know about the EDTA, but I have a shower filter and run my baths with that. Also, there used to be a forum at yahoogroups called biologicalterrain, and the moderator told me what to add to water to remove chorine when making a fulvic acid solution. It was something sold at camera stores, it was white and small crystals. If I think of the name of it I'll post back again. I think it had sodium in it too.
Something like trisodium....there's a three letter thing for it T__. Sorry, can't remember. It's not too expensive.
Where did you hear about EDTA removing the chorine?