Sounds good to me.
Find yourself a nuclear power plant that's hiring. If they're interested, you'll probably be invited out to take the POSS (Plant Operator Selection System) test. The questions on the test aren't particularly difficult, but you have to work quickly. "Speed And Accuracy" is the name of the game.
If you pass the POSS, they'll probably invite you back for an interview. They may interview you at the same time as your POSS testing, so you only have to make one visit.
Be prepared to face some tough competition. You're going to need something to distinguish yourself from the rest of the candidates. Having ties to the local area is a big plus. Previous navy nuclear experience is a big plus. Previous power plant experience is a big plus.
Sometimes the job being offered is NLO, NEO, AO, AUO, etc. (They're all equivalent, just different names)