Baking soda is your best choice to quickly clean vomit or urine stains from your carpet. Wipe up what you can, then pour baking soda over the affected area and pat with a paper towel. Let the homemade mixture dry completely before vacuuming up the residue. Baking soda will clean, sanitize, and deodorize the messy spot. Baking soda can also be used to lift grease stains when combined with equal parts salt. Sprinkle the mixture over the grease spot, and use a stiff brush to work the powdery concoction into the spot. Let sit for 4 or 5 hours and then vacuum up to completely remove the stain.