I'm not that professional but I think a whole house filter would filter particulates like dirt but not chlorine. for chlorine you might need a reverse osmosis system for a specific drinking water tap to eliminate the taste as it's not practical or efficient to put an RO on the whole house supply. if skin issues from bathing are a problem you might need a softener. sometimes when kids have eczema doctors actually prescribe "bleach baths" where a small amount of chlorine bleach is added to the bath water. also many of the water treatment systems can be rented so maybe just rent it while they are there. regardless, proceed with data. water test, pediatrician diagnosis (if it's legal to ask for, no clue), and a system that is right for the application. sounds like the tenant is willing to help out which is awesome.

I have severe eczema on my hands that crack and bleed and i didn't have a good grip on the gun and in trying to remove to bullet the gun slipped and went off and through the wall.

My child had pretty bad eczema, and his cleared up fully as well.  

@Joe Splitrock I'm actually quite familiar when it comes to 1099 all of my job's prior to this one have been a 1099 I worked as a landscape designer for 7 years and a chimney sweep for 4 as a 1099 so I'm very familiar with that.The only problem is that I do have eczema, pretty severely. as a government job I would get pretty nice health insurance but also if I go and work at Starbucks for over a year or something I get health insurance there too hahaha

A variety of subtle things can cause eczema outbreaks. 

I have severe eczema which limits the things I can do that involve coming into contact with my skin.