I have a Motorola Xoom running Jelly Bean and am moving to the Asus TFT-700. I plan on giving my Xoom to someone in a factory default condition so that my Google account will only be on the Asus. Do I really need to remember all of my installed apps so that they can be manually downloaded to the Asus or will my Google account take care of this automatically?
Backing up and restoring your data
You can back up your settings and other data with your Google Account, so if you ever replace your tablet, you can restore your data on the new one. If you choose to use this service, your data is backed up automatically.
If you previously used the backup service with the Google Account you just used to sign in, you can also choose to restore your settings from your Google Account to your tablet now.
Important If you want to restore your settings, you must do that now during setup. You can’t restore data after setup is complete.
Many kinds of data are backed up, including:
•Your Android settings, such as your Wi-Fi networks and passwords, user dictionary, and so on •Many Google application settings, such as your Browser bookmarks •The apps you download from Android Market Some third-party apps also make use of the backup service, so if you reinstall one, its settings and data are restored
Using Google's backup service (as described by greg) is one way. But as in the past this did not prove very reliable (it should have improved with 4.x, though), plus apps have to actively support it (which by far not all do), there are alternatives to consider.
Since Android 4.0, you can perform Full Backup of non-rooted devices. You can also backup/restore single apps (including their data) this way.
An easier approach is using Koush's Carbon Backup -- at least if you buy the Pro license (less than 4 Euro). Install the app on both devices, and you can sync apps and data between the two (see the second "tab" in the screenshot1).