Yep, sure do. It starts today. You have a pile of stuff no one wants. You move ahead when you stop adding to it. Tomorrow will soon be today.
A large amount of "Nuclear Waste" is extremely low-level stuff that isn't a danger to anyone, but public preception of radiation dangers requires that special measures be taken in disposal.
Most of it could be washed, shredded, and recylced without danger. Technology is quickly providing us with more options for waste handling annd disposal.