First, please get other advice. I'm sure there are plenty of people in real life that you could ask that would have a much better idea than anyone here. Professors, other students, people you may have met in these fields, family, whatever.
I've got a BS in mechanical engineering. I've got a buddy who is getting a doctorate in nuclear engineering. Based on what I know, you are going to have a wider range of opportunities with the Material Science degree. It is a broad, broad field, and you can take it whatever direction you want. With nuclear, you are going to be more limited in where you work, and what you do. If you really like nuclear though, maybe that doesn't matter to you.
I don't really have much idea about the job market or research in either field.
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