To get rid of pet messes, first blot fresh messes, then use a homemade solution like vinegar/water/baking soda or an enzymatic cleaner to break down stains and odors, letting it soak in before blotting or rinsing and drying thoroughly; for tough stains, hydrogen peroxide/dish soap can work, followed by vacuuming up any powder. Always blot, not rub, and consider pet-specific cleaners for best results on carpets and upholstery.