Just my opinion, but I have found that the major makes little difference. Your GPA and LSAT makes all the difference. Disregard most of the crap the schools put out about looking at everything. When it really comes down to it, the only time your major will make a difference is if you are borderline. From what I have seen the school pretty much have an upper range, where you are automatically in, a low range, where you are automatically not in, and a middle range where they may look at some of the other stuff. Even then, I think that they generally look at your GPA and LSAT compared to other middle range students that year. The secret it to get a good GPA, and work your butt off on the LSAT.
As for which of those two majors will be better, I am not sure.