I'm waiting to see the ability to use iPhone/iPad keyboards as inputs for the Apple TV. I think Google TV does this.
Download the remote app onto your iOS devices, and turn on home sharing.
Now your Apple TV will show up as a device you can control from your iOS device or even Apple Watch.
You can do that with the remote app.
The "Remote" app has been around for years (dating back to before the previous "black hockey puck" iteration of the Apple TV) and can control the TV as well as iTunes.