A couple of things. Usually very small class sizes for all your classes. Small classes also mean you get professor attention, few classes in a private college are taught by TAs and your prof knows your name, that can be nice when applying to grad school. Small private colleges often give undergrads experiences that you won't get as an undergrad at a public university with grad students - like helping with a prof's research. You get contacts, my husband's career has really benefited from alumni contacts, and that has paid his tuition over many times. Finally, when your graduating class has 200 people in it, the class has a certain intimacy in its alumni that tends to be lacking in larger schools - that intimacy opens doors thirty years later. During college, a small private liberal arts campus is a magical place - sort of like Disneyworld

. Where a large or even medium state school is a little more like a Six Flags. As to reputation, some public colleges have great reputations, some have lousy reputations. Private colleges are the same. I went to a highly ranked public school, my husband to a highly ranked private one. I then went back and went to a school that isn't well respected, for good reason - but it was an easy degree that I wanted.
Pay for your kids college or don't - I respect it either way, but I ask that you respect my choice as well - you don't have to "get" it, but I do ask that you respect it. I hope that in having the money available to pay for their college, I'll be able to help my kid's get the same sort of jump on their adult lives that my parents were able to give me - while my friends were paying down student loans, I was buying a home. While they continued to pay down student loans, I started a stock portfolio - and started saving for my kids' educations. I remember being broke at 22, my income going towards my mortgage, but I didn't have loans, if I'd had loans, I wouldn't have been able to afford rent. Many of my friends were living in less than safe neighborhoods at that age, because that was what they could afford.
Other than my life, getting me through college without loans is the best thing my parents were able to give me, and something I will be eternally grateful for. I feel an obligation to pass that on to the best of our ability. Since our ability is significant, that isn't a problem. Its meant fewer vacations, but I'd give up every vacation to send my kids to school. Education is the one of the most important things I can give them to ensure their success.