Hello,
There are a lot of jobs out there, but what you may not know is that in order to get them you have to have impeccable timing or a willingness to relocate. True, almost every station is hiring people. True, almost every nuclear job is pretty much being hired. However, not every station is hiring every nuclear job.
When I was getting out I put in over 10 applications a week for four months. Out of those applications I got about 20 phone interviews. Out of those interviews I got six followup interviews at the sites. Out of those interviews I got four job offers. Now I will admit that a few of the early phone interviews fell through because I wasn't interested in the job they were pitching me, but that still leaves about one phone interview per week of applications (Or one for ten, if you prefer).
Also keep in mind that there is a delay period between application and contact. When I put out an application I never got called back about it until a good three months later. So don't get disheartened because of delays, especially since you aren't out yet. Many companies won't try to contact you until you are less than a month from EAOS; due to people changing their minds and reenlisting.
Go ahead and also throw out some blanket resumes at job-hunter sites. In the end, it was my resume here at Nukeworker that got me the job I currently have. My advice is to keep posting applications in mass quantities to all positions that you think sound desirable to increase the odds of finding the right job for you.
Good luck and keep us posted,
Bradley
PS- As an additional hint, many online applications have very similar elements. In order to streamline your application process, keep a word document with a list of your skills, qualifications, education background, and answers to questions that you will find keep cropping up in the application process. Having something to cut and paste from makes filling out an application much quicker.