The best alternatives to Tide for cleaning carpets are Bissell-approved carpet cleaning solutions, such as: Bissell Deep Clean + Antibacterial Formula. Bissell Pet Stain & Odor Remover is an enzymatic cleaner to remove pet stains and permanently eliminate odors associated with pet accidents on carpet and soft furnishings. For carpet cleaning, go for Hoover or Rug Doctor carpet cleaners. These are designed to be used with carpet cleaning machines so that they are able to get your carpet clean without harming the carpet or the machine.