Well, I'm no where near having kids yet, but I am a college student. My father happens to work at the community I attend, so we didn't have to worry about the first two years of school. NExt year, I will be switching to a four-year univeristy and I will take out loans and will be expected to pay them myself. I may end up getting some money from my grandfather, but like my mother, he will probably wait to give me the money for AFTER I graduate.
ADVICE:
I think this is something for a lot of you parents to consider. I think it's great that you are saving money for your children, but I really think it is in your best interest to give your kids the money AFTER THEY GRADUATE. This way, you can encourage them to work hard for scholarships. You also have to consider that sometimes your kids might not complete college for whatever reason. A lot of my friends ended up not completing school...one of them just missed home, the other got kicked out for drinking!

Imagine putting all that money away, and your child wasting it by getting kicked out!! I'm not saying it will happen to your kids, but waiting till their completed makes it kind of a reward for them. Plus if they decide to go to a cheaper school, you can save the extra money for their wedding, etc.
Good luck to all you parents out there--you're all doing a great job!