How do I transfer app data from my old iPad to my new iPad? How does one transfer app data (e.g., Notetaker HD books, game progress, etc.) from an old iOS device to a new one?

While I'm sure this issue is relevant to iPhones, it seems that with the advent of the iPad, this issue gains particular significance.  How do I keep my Battlehearts game when I get my new shiny?

What I'm Not Asking:  Obviously, exchange data will migrate seamlessly to the new device upon provision of login credentials, and same goes (maybe without the "seamlessly") to data (music, video, etc.) associated with my iTunes account.
I am assuming this process will work out to be the same as the current situation with  iPhones:


Backup your iPad using iTunes.
Plug new iPad into same computer.
Restore new iPad from old iPad backup.


When this is done with an iPhone, the new iPhone will be configured exactly as the old one - save games, email apps, photos, everything is transfered.

What happens is actually that the backup contains all app data + configuration. The rest is basically a list of stuff that should be synced from your computer to the device (e.g. music, photos, apps).