You process them to recover unused fuel and to recover plutonium to make more fuel. You then exercise good engineering judgement and manage the remaining high-level wastes where they will not get loose in the environment.
You also quit wetting your pants worrying whether someone will steal them and put them in the mashed potatoes in school lunchrooms.
The plan that seems to make the most sense is to encapsulate the radioactive waste in glass beads and sink them three miles down in an old salt mine - or a special purpose built deep cave.
This process is being developed by a friends brother at UC Davis in the ceramic engineering dept. I think he has published a number of papers on the technique.
The biggest problem with nuclear waste is that the enviro/socialist watermelons won't be satisfied with anything you do....so the plan should be to ignore them!!