Bain vs. BCG for innovation and exits into tech?
I'm deciding between offers from Bain and BCG. I've been able to do a ton of reading about the two firms to get a general comparison (a lot thanks to this forum!) and have gotten to chat with people at both firms at this stage. I like the people at Bain better and could really see myself being happy working there.
However, I'm having trouble figuring out which firm is a better bet for me if I want to eventually exit either into tech (think Google or start up) or the space industry (think Blue Origin, SpaceX, etc. - my background would be a good fit).
I am under the impression that BCG is a lot more focused on innovation and offers the opportunity to work with startups through their Digital Ventures initiative, while Bain seems a lot more traditional (focused on finance/insurance/etc). This is honestly the only thing that keeps me from being certain about Bain, as I'm worried I'll end up working only on very traditional projects and that the exit opps for tech/space industry may not be as good as with BCG. It seems BCG is known as being very innovative and so that might make for an easier exit based on my interests.
Am I wrong in my assumptions? Any help and insights would be very appreciated!