Totlol.com is a video website intended for kids. The idea behind it is to be able to watched YouTube videos that are screened by parents.
It's a members-driven website. It costs $18 US to join.
I have often used Totlol.com and I really recommend it. It's cheaper than renting videos, and you don't have to worry about the garbage that gets hidden in the cartoon YouTubes (it seems there are a lot of people who like to do that).
If you want your children to enjoy YouTube, without worrying about the junk, this is a good place to be.