A method using material such as plastic or any other fluid-proof, easily cleaned, and hygienic material to create a vessel to contain particulate litter or other means for the collection, management, and disposal of pet excrement. An upper vessel resting atop the lower to contain and conceal the contents of the lower vessel. A vertical flange or skirt extending from the bottom of the upper vessel far enough into the lower vessel to shield the sites where these vessels abut in order to contain feline urinary spray or other waste. Said downward flange or skirt to markedly reduce internal surfaces requiring cleansing and prevents the need for cleaning outside the vessels.