About a decade ago for my year 12 oral presentation (high school) I chose the topic "Why Australia should go nuclear."
Coal power plants do kill a lot of people, that just don't have the nuclear fall out

We don't have many coal issues in Australia but when you head to other parts of the globe where, let's say, safety regulations and OH&S are not as tight, power plant explosions do happen.
As it stands, wind power is too unpredictable and is not a reliable source, I personally much prefer solar power. The problem with solar power is that current technology is INCREDIBLY dirty; clean once it is up and running but manufacturing the solar cells is horrendous.
Modern nuclear power plants with NO CORNER CUTTING are perfectly safe. The worlds worst nuclear power issue was caused by human error and corner cutting as it was falling behind schedule. Starting a nuclear power plant before its finished, bypassing safety protocols to do maintenance... Not a good idea.
To my knowledge it is one of the most expensive power systems to get up and running but if done correctly is also one of the safest. It's byproduct may be nasty but as technology moves for was we should be able to extract energy from it as well. Japan I believe has been working on a cost effective breeder reactor for the past decade or two.