My youngest son's eczema also disappeared shortly after we installed this bath filter (and showerheads) in all our bathrooms. So if you have a child (or yourself!) with respiratory problems, or skin rashes, this is one of the first things you should change in your home environment.
I have personally tested (and used) each of the bath and shower filters listed below. If you read through the descriptions, you will find that they filter out: Chlorine, Hydrogen sulfide (rotten egg smell), Iron oxide (rust water), Dust, Sediment, Odors and balance the pH of your shower water.
Comparison of Shower Filters
Sprite Royale - Showerhead and filter combined in one large head (3" in diameter), good filtration, good water pressure, replace filter every 9 months. Luxury, 5 spray settings with massage and de-scaling mechanism (no mineral build-up). My favorite in terms of appearance and spray settings.
Sprite Universal High Output - comes with a filter AND a separate showerhead (showerhead is smaller than the Royale, only 1.75") with 3 spray settings. Since the filter is separate from the showerhead, you can either use the showerhead provided, or take it off and use your own showerhead. Good filtration, good water pressure, replace filter every 12 months.
Sprite Bath Ball Filter - filters the water from your bath faucet, just strap it on. Replace filter every 5 months or 50 baths - whichever comes first. Only works on straight (not curved) faucets and you must be able to control the rate of water flow through the tap.