I have a graph somewhere. Almost all of the costs, environmental and otherwise, of nuclear power are frontloaded. The facilities cost a lot and using that much concrete (necessary because of the radiation) makes construction pretty bad for the environment, but once it's built and being maintained it's super cheap compared to most other forms of fuel.
Safety-wise, I compare it to plane crashes and car accidents. Statistically, you're much more likely to die in a car accident but they happen to often they almost never make it past the local news. Coal accidents happen all the time, and that's not even counting the general ill effect of fossil fuels on human health. I would be afraid to see an estimate of the life-years lost due to coal particulates in the US, and in China it's much worse. Nuclear accidents are comparatively much rarer but the news plays on people's fear of the nuclear boogeyman so their sense of the comparative danger of nuclear versus coal is skewed.
If you need hard numbers you can look up the deaths by output comparison. Even the popular green fuels like wind power end up worse than nuclear, although they're probably too small-scale at the moment for proper statistical analysis.
It's hard to put together a comprehensive fuck yeah nuclear power viewpoint because of the very serious issues of disposal, proliferation, etc. I usually take a more moderate stance: Nuclear power is the power of today, not tomorrow. It's how we survive resource depletion and blunt climate change while the fancy future shit is still in development.
People are more reasonable than we give them credit for, if you can sit them down and shut them up long enough to explain how nuclear works, they usually don't freak out.