I am a Computer Science Master's student in the US, and I am in the good position of having choices of jobs to take after graduation.
On the one hand, I have interviewed with a few local companies. I think any of these would be great opportunities, plus I could keep living in my current apartment and I have friends and family here. They are not small companies, but they are not companies I knew of before moving here.
On the other hand, I have interviewed with some west-coast big-name companies. While these companies obviously have lots of interesting projects, I have no idea what role I would be assigned. I would have to move across several states, but I am young, single, and adventurous, so that could be a good thing. The pay rate is a bigger number than the local companies, but accounting for cost of living the take-home rate would be similar.
In summary, I think I would be happy either place. I have no compelling reason to choose either. However, the one point my dad brings up is that the west-coast company would be more valuable to me in the future. I could always move somewhere else later, but declining those job offers now means I would 'never' have the chance to make the alternate choice.
Is he correct? How much does company name matter to future interviewers?