When I began my business, I used a rolling suitcase. Recently I started using a large tote bag. I always bring a bucket, but NOT for mop water. I do not use a traditional mop. I bring cleaning cloths for my Swiffer mop, H2OO2 cleaner, I bottle all ppurpose cleaner (Meyer's Clean Day) and if the house has stainless steel or hardwood floors, I bring the right stuff to clean them. I bring Swiffer dusters, pocket knife, gloves (LOTS of those!) and of course, my Swiffer mop. I use to bucket to tote things around the house I am cleaning and at the end of the day, I use it to hold all my wet, dirty washcloths. I always bring 2 foam sponges: One for the bathroom and one for the kitchen. Those foam sponges get all of the hair, dust, etc., in bathrooms, and pet hair off furniture plus pick up any stray crumbs or whatever off kitchen counters.