I guess city rivalries are a standard thing in almost every state of the U.S. I grew up in the Houston area, lived in Austin through most of the 1990′s, moved back to H-Town, and then recently back to Austin after living in Houston for many years. I like both cities a lot, for different reasons.
But there's a lot of weird hard feelings and mean-spirited criticism of both cities by people that live in the other, and it seems dumb to me. Especially considering that there are a lot of ignorant fools from outside of Texas that think the whole state is populated with subhuman stereotypes, or that the whole area in unfit for human habitation. They think Texas sucks and that we're unsophisticated and stupid. Those are the morons we should save our disdain for, not people living a little less than 200 miles apart.
Rather than determine that one city is "better" than the other, it would be far more accurate to just say that they're very different in many key ways, and the things that make one place paradise for a person, might make it a hell for a different individual.