Your tumbling mat will come with cleaning instructions. For more details, check the manufacturer's website. But here are some essential cleaning tips. Thoroughly clean before your first use. Just my two cents, as we aren't sure how these products were stored and handled.    Products made with vinyl and foam are not waterproof. Thus, these should not be soaked in water. Instead, wipe these with a cloth with soap and water. Never use abrasive sponges or materials. It's a bit harder with interlocking mats. First, you need to detach and clean each tile. You can wipe most of these with a rag damp with soap and water. Don't forget the areas where each tile interlock with others. More importantly, keep these flat so that you won't deform these. Clean the underside of your tumbling mat. Also, remember to mop the floor beneath if this is permanently fixed in one place. You can use a vacuum on several mats. Don't forget the carpeting under and around too. Spray with disinfectant. Make sure you're using a non-toxic brand. Bleach or rubbing alcohol mixed with water will work. Clorox and Lysol are also great options.