The experience you have at university is far more important than the name that goes on your resume. A truism, perhaps, but seeing a new class decide what universities to attend (and being asked the question a number of times) made it seem worth saying.
Before one is actually at university, the things that loom large in the mind’s eye are the universities’ websites, their Wikipedia pages, their brand names and whether you know anyone there. These are the things that matter little once you’re there.
The things you will think about daily are what books you’re reading, who you’re spending time with, and what professors you’re talking to. All universities have those three things. There is less difference between them than you might think.
The differences that are worth considering are where the university is and what sense of community it has. The latter especially will define your experience.
University community should be judged not just on the superficial, but on the deeper sense of how open it is and whether or not it will let you change and grow, or if it will hold you in a straitjacket of who you once were and who others think you should be. This can be hard to discern, but visit the campus if at all possible and look for the small signs. The diversity and the differences between people can be the surest sign; homogenous campuses may not let you grow.
Most importantly, ask—and ask only of yourself—what you want to get out of university and how you want to spend four important years. Answering that question will define the experience, and even define your life, far more than whether the university starts with a Y or an H, an O or a C.