Upgrading to new iPad, how can I get old settings and apps directly to new iPad?
If you have iOS 5 or 6 installed on your iPad, you can use the iCloud Backup functionality to transfer all your settings and apps, without the need for another computer. When you set up your new iPad, it will ask whether you want to set it up as a new iPad, or restore from an iTunes or iCloud backup.

Restoring from an iCloud backup will restore nearly everything, with the exception of any saved Wi-Fi or other passwords, which you'll have to re-enter. Alternately, doing a backup and restore from iTunes on a Mac or PC will restore passwords if you encrypt the backup.

Apple's support site has more details in this article: iOS: Transferring information from your current iPhone, iPad, or iPod touch to a new device.