What to do with spent fuel rods is more of a political problem than a technical one. Read up on Yucca Mountain.
Current thinking is that the best approach to long term disposal is to find a cold hard-rock mountain where nothing has changed much in millions of years. Dig tunnels that are far above any possible flooding. Drill vertical holes in the tunnels. Package the nuclear waste in stainless steel thimbles, with the waste embedded in ceramic. Place thimbles in holes. After a few decades of nothing happening, fill in the tunnels.
Sweden and Finland, which have lots of stable, isolated hard rock mountains, are working on this. So is China, which now has two vitrification plants for nuclear waste.