What about thorium fuel recycling? Pebble bed reactors?
I mean, I'm no expert, but thorium is both more plentiful (three to four times more plentiful than uranium), can't be used for nuclear weapons, produces roughly the same amount of power, and can be recycled into future reactors (thus, reducing or eliminating the dangers of waste storage, as there is less waste.)
Also, pebble bed reactors (which are merely one of many different theoretical ideas about 4th generation reactors - Three Mile and Chernobyl were...2nd generation reactors, I believe) are designed so that they cannot melt down. Their design is such that they naturally cool themselves (without needing cooling systems, which can fail.)
Of course, both of these methods have not fully been researched - we have no actual pebble bed reactors, and as far as I can tell, we have no thorium fuel recycling systems...which may mean that they will have problems that are just as serious as modern reactors. But they may also be the safer, cheaper, cleaner technologies that we could use to power the world without choking it in carbon.
I'm not saying we should build a load of nuclear reactors willy nilly and damn the consequences.
I'm saying we should build better reactors. We should find ways to recycle spent fuel rods. Which, by the way, we can do while ALSO studying better solar power plant technologies, better solar panels, ways to sequester carbon...