As BETABobW said, use the sync capability to backup the stuff you want to save to the cloud (Menu > Setup > Sync Devices > Upload files to Server, then check all boxes and click "Upload"). Sync the new tablet to pull down the data from the cloud (Menu > Setup > Sync Devices, then pick the device whose files you want to download; in your case there should only be one). Easy peasy.
There is really no practical option to copy files directly off one tablet and move them to another. With the cloud sync capability, there's also no need for such an option.