Dear god, nuclear power plants are deliberately overengineered to an absurd degree so they don't malfunction, and there are so many regulations, practices, and rules involved in the operation of one it's almost ridiculous. Hell, they can theoretically take a commercial jet crashing headlong into them, and even then they'd still trigger a failsafe just in case.

Plus, nuclear plants have extremely tight security, with one guy noting that some have more security than military bases. By the way if you break in, they are well within their rights to shoot you dead on the spot.

We've figured out how to make them safer to utilize for decades, and barring extraneous circumstances, such as the delibrate ignoring of safe practices (Chernobyl) or an already-occurring natural disaster (Fukushima) they're generally pretty solid, and even then part of what contributed to Fukushima was the fact that recommended safety measures were not taken against tsunamis and earthquakes despite being warned about the issues such vulnerabilities could cause prior to the incident.

The things that scare you about nuclear power are almost entirely issues with the reactors we were building half a century ago, not the reactors we would build now.