You’ll be perfectly fine near the nuclear power plant. The stuff coming out of the cooling towers is just water vapor. The cooling towers are just there to cool water. That water is in a separate loop from the reactor so there’s no radioactivity. In the minuscule chance that something has the potential to go wrong, sirens will sound in a 10 mile radius around the plant to signal you to tune to a local radio/TV station for information and instructions. The sirens are NOT telling you to immediately evacuate.