Profile: Priority Waste, Inc. is a provider of waste management, recycling, and demolition services. Our services include roll-off containers, compactors, small demolition jobs, site clean-up, and recycling. 10 Cubic yard dumpster size is mainly used for about 2,000 square feet or 30 squares of single layer shingles, small basement, attic or garage clean up. We offer both stationary and self-contained compactors.