Reprocessing that can entirely get rid of the waste needs a scientific breakthrough that certainly might happen, but trying to make it happen will require research centers with highly qualified staff, very expensive machinery and will take a long time to set up.
Meanwhile just about anyone can put solar panels on their roof making it possible for the state to save fuels in central power plants for use during the night. This benefit is immediate, and because anyone can do it it's currently being deployed faster than even non-reprocessing nuclear power plants can be built.
So instead of aiming for new classes of reactors I think we should build already known classes of solar panel factories and hydrogen electrolysers. Hydrogen electrolysers are insanely simple, you can build one using stuff you are likely to have in your home already.
The main argument against it at grid-scale is the efficiency, but with enough solar panels efficiency becomes basically meaningless. When you are filling your "water bottle" from the Niagara you can spill a lot and it won't matter.