How do I create a safe nuclear reactor?

Why do I want to make a nuclear reactor? Because they're awesome. They are a good source of EU. However, my first reactor did not end up well, and I need to learn how to create a safe one without it blowing up my house. What is a breeder reactor and how is it different from a nuclear reactor? Additionally, how can I make a safe nuclear reactor that won't explode?

EDIT: I think this picture speaks for itself.