You'll also need to use the Transfer Purchases option with the old iPad first, just incase there is stuff on your iPad that isn't in iTunes. A normal sync doesn't always move stuff on the iPad into iTunes.
You'll find the option under the Files menu, or by right clicking on the iPad under Devices.
After that it is just a matter of connecting your new device, letting iTunes initialize it, syncing, and then restoring from a backup.
I'm feeling too lazy to type it all out, so I went looking for a good link. I like this one. The only thing missing is the Transfer Purchases bit. I think they leave it out because a lot of tech sites haven't figured out that people are using their iPads as almost stand alone devices.