The Shawnee News-Star The City of Shawnee has been working with Central Disposal for its annual Trash Off and Spring Clean Up day. On Saturday, from 8 a.m. to 2 p.m., the City of Shawnee and Central Disposal will have large roll-off containers at five sites for Shawnee residents to bring non-hazardous waste. The only site accepting hazardous waste is the Public Works center, at 111 S. Kickapoo. To dispose of hazardous waste, residents will have to provide proof of an active sanitation account with the City of Shawnee/Central Disposal and an ID/drivers license with a current Shawnee address will be required.