I guess it depends on what the chemicals are, since everything around us is made of some kind of chemical. For dishes I use either Dr Bronner's peppermint soap or ecover. I use Ecover in the dishwasher also.
I look for cleaners that don't have bleaches or 'lemon juice' (which will ruin some of my dishes, stainless and cookware), no antibacterials, and no phosphates (which cause algae blooms and chokes life out of watersheds).
I look for cleaners that don't have bleaches or 'lemon juice' (which will ruin some of my dishes, stainless and cookware), no antibacterials, and no phosphates (which cause algae blooms and chokes life out of watersheds).