One suggestion is to see if the school you are at has a student section of the American Nuclear Society (if it doesn't, I believe you can still sign up as a student). The ANS Nuclear News magazine has a good variety of articles on things happening all across the nuclear industry. Students can also get discounted registration for the ANS conferences (the November conference typically has a large trade show, with lots of companies recruiting at it).
Recognize that in general, most of the engineers at a nuclear plant are NOT nuclear engineers. As you are probably aware, a very large amount of engineering fundamentals are common to most disciplines of engineering (heat transfer, thermodynamics, statics, dynamics, etc.).
Entry level engineers are usually hired at all engineering departments at the plant, plus related departments like operations, so you're options at a plant are pretty broad. At a plant you can see people who have bounced all over the place (systems engineering, design engineering, ops, work control) and others who have spent their entire career doing the same thing. Similar choices exist if you go with a vendor like Westinghouse or Areva (field engineer supporting work at a site, design work at their headquarters, etc). Both Areva and Westinghouse have US utility customers who seem very determined to stat building a new plant in the next few years.
Regardless of where you start out, the odds are you'll be working for a big company, so that usually translates into lots of choices.