You can restore your new iPad from a backup of the old iPad and all of your settings, data and game saves should transfer over to the new device.
If you use iTunes, transfer all of your purchases into your iTunes library, backup your iPad and sync if you like. With the new iPad ..... you can activate it OTA using WiFi - or you can activate it using iTunes as well. At the end of the process, you will have the opportunity to restore from your iTunes backup. Select that option, and after the restore completes, sync with iTunes, if the sync doesn't start automatically.
If you backup with iCloud and do not use iTunes, select the restore from iCloud option and all of the settings and data will restore to the device and all of your apps and music will download from iCloud onto the iPad.