Hi and congrats on your admits!
Looking at the MBB and Consulting numbers and recruiting, it does seem that Anderson has more clout over KF. I guess they have worked hard to get MBB on campus recruiting. I see all 3 listing Anderson and only 2 listing KF on their websites. However, keep in mind that MBB is very competitive and you will be competing with other Top 20 school applicants for the overall spots and with your classmates for the local spots. There is a lot of speculation about earmarking spots for particular schools vs. overall pool and it is hard to tell but i believe each consulting company hires at least some folks from each school. However, you are probably looking at 5-10 spots for the Anderson allotment, and that's tough for a class of 350.
Internships seem to be even less scarce and an MBB internship is quite hard to get selected for. I am not saying you picked the wrong industry - not at all, just that it is a very competitive industry.
PS. As to moving offices with MBB, you can definitely do it at any level, esp if you are moving to an office that is "less" desirable - they are always happy to have people there, even internationally. However, your comp will get adjusted based on that office pay (up or down) and if you move from the LA office to Atlanta for example, your pay likely will get reduced, that is assuming you can force yourself to leave Hotel California and its perfect weather and warm sunshine.
P.S. In most cases, I would favor Anderson in this choice - it is a better-ranked school with a larger student body and unless you hate LA for some reason, I feel it would be a new experience living on the west coast vs. UNC.... that said if you are looking to head back to the South to be close to the family, which is important once you start having kids or aging parents, and esp if you are gone 5 days a week and your wife is stuck with a newborn, it is helpful to have aunts, sisters, uncles, and grandpa's around.... and UNC likely has a strong local network since I can't see lots of Anderson alums moving to South. If you want to know the exact number - it was 2! people last year that reported moving to the South region of the US.