Our two year old loves the iPad and can use it surprisingly well, though why he's obsessed with Kasabians performance of Fire at Glastonbury is a minor mystery..... perhaps it's the woo woowoo woo w'woowoo woo woo......
I've no idea about the website you mentioned but have extensive experience of the child and iPad combination
Apps I can recommend are Old McDonald, Incey Wincey Spider, The wheels on the Bus, Sound Touch, and Baa Baa Blacksheep. He also likes Angry Bird, My Kingdom for a Princess, and Paper Toss as well as a couple of car racing games. Plus there are a lot of tv childrens programs that can be watch via safari.
You'll find the biggest problem is trying to remove the iPad from sticky little fingers without earplugs.........