I set up my own media server and run Infuse on the AppleTV. For my wife and kids, it's the ultimate setup.

Everything is in one place (not spread across different apps), the UI is consistent and not buggy (official apps can be terrible at times). All they do is put in a request to dad and their TV show or movie appears shortly after in the "newly added" section on the TV. Not only that, but content doesn't disappear from one service without warning. It's always going to be there, and I get to curate the kids content.

It require piracy, and the kids don't know that, but it's the only way to get this setup.