I’d simply point out that these universities are very different from each other. All they have in common is that they are excellent. Columbia is a very large research university. Chicago is a smaller research university, but remains a research university at its core. Princeton is the most “liberal arts” and undergraduate-focused of the three. The experience you will have at each of them is different and depends on your individual preferences.
I agree with @Penn95. It is a bit silly to claim that one university is “the best”. Better to say that there is a group of outstanding universities.