Every construction project generates waste and other unwanted materials including old floor covering. I do offer carting services for an additional charge. Otherwise, I bag or tie all waste and leave on site where directed. Your city sanitation department might collect this waste during bulk pick-up service. Check with them for details.
A convenient option for waste disposal is a Bagster from Waste Management. Currently you may pick up a bag (or I can supply) for around $30 plus tax at many home improvement stores. Once full you can schedule a pick up from Waste Management at about $130 for the first bag. These costs often amount to less than my fees for a trip to the landfill.