Sorry, but I am a little behind on my reading, abut was reading up on the bleach topic, which I do use, but what I've been interested in trying is Steam Vapor for cleaning. Once I saw how expensive my husband wasn't interested in trying to find a machine for me (darn!) but this seems like a good & definitely non-chemical way to keep the house clean.
Cindy Water.nature's natural solvent, when super heated becomes dry steam vapor. Tackling the toughest of cleaning jobs.your steam vapor cleaner will melt away grease, grime and build-up while killing mold, mildew and bacteria deep where they hide. http://www.vaporcleanproducts.com/SF233_1_.htm