Android: Taking complete control of phone, is it possible? How?

We have a program that we install on the phones and borrow the phones to users for a certain period. We would like the phones to be used solely for running our application(no phone calls, no games, no nothing). We will root the phones, no problem with that.

So the things we need:

• Run in full screen, nothing else will be visible
  


• Home button and other device buttons won't work
  


• Our app will run automatically on startup
  

It doesn't have to be "hacker proof", but should be sufficient to prevent average user messing with the device.

Is this possible? I have done similar things on Symbian & Windows Mobile but I don't have much experience with this stuff on Android. Can you please point me in the right direction?

Thanks.

Source: Tips4all