Chlorine bleach is a hazardous material. Sure, it's an excellent cleaning medium, but do you really, really want the toxic exposure when there are alternatives?
I found this at Publix this weekend: Chlorine-free bleach. Active ingredient? Hydrogen peroxide, citric acid and water, which breaks down into harmless oxygen and water. Does it work? Yes.
I paid $1.50 for mine, works great on stains!