Household bleach usually consists of sodium hypochlorite or hydrogen peroxide, which are both strong oxidants. Certainly, you shouldn't mix bleach with other disinfectants or cleaning products, as dangerous substances may be released. For example, sodium hypochlorite reacts with ammonia to form toxic chloramines. However, plastics or polymer fibers in rugs and clothes shouldn't be affected if you spill bleach on them, as far as I know. At most, you will discolor them due to oxidation of the colorants.