A 'breeder reactor' is a type of nuclear reactor that makes more efficient use of uranium than 'light water reactors' and with less left-over radioactive waste.
Sounds great, so why do we build anything else? Well, once you've got a breeder reactor it's a very short step to making weapons-grade plutonium. Whereas with light water reactors, this isn't the case.
So the choice of breeder vs light water reactor has pretty big impact on weapon proliferation.