The inability to create any sort of "space" for my seven year old on the iPad was the biggest disappointment I encountered with the iPad. The best I could do was to place her apps and other content on a single page. But the iPad doesn't even allow an icon to appear on more than one screen. So whatever she had on her screen couldn't be placed anywhere else.
Ironically, despite the complaints about the Kindle Fire's lack of "parental controls," I found an app in the Amazon App Store that enables me to set aside an individual launcher for my daughter's apps that is fully password protected. Unlike the iPad I can let her use the KF unsupervised without worrying that she'll accidentally modify the settings or purchase a refrigerator.