[General Questions and Answers] Konno_Yuuki:
I guess the first question I have is; is the device rooted? If so, this makes backing up a bit simpler. You already have Titanium Backup, so just tap the button that looks like a square with a check mark. Then push the 'run' button that's in the "Backup all user apps + system data" (Third item in the backup section). Let this run. Once complete, you can upload the whole folder that TB put the files in (found by tapping 'menu' > Preferences > Backup folder laction) and upload it to a cloud service like Dropbox.

If you're not rooted (works with rooted devices too), we will need a Windows computer. This process can take a bit to explain, so sorry for the long post.

First, you’ll need to install Oracle’s Java Development Kit, which the Android SDK requires. Download and install the 32-bit version. The Android SDK wants the 32-bit version, even if you’re using a 64-bit version of Windows.

Next, download the Android SDK from Google. Extract the .zip folder to a location of your choosing, but remember where you put it. If you have the option to open extracted contents in a new window, do so.

Okay, now open the Android SDK Manager (you may have to open a subfolder or two) with administrative rights. You do this by right clicking on the .exe and choosing the option "Run as administror". A window will pop up, click yes, and after a small wait, the SDK Manager will open.

Now within the SDK Manger, under the tools section, check the box for Android SDK Platform-tools and click Install. This can take some time depending on your Internet connection. Once installed, go back to the open window where you cliked the SDK Manager .exe and navigate to the folder named "Platform Tools". If you're unsure where this is, the SDK Manager has the path of install located near the top.

Now let's get the tablet ready. If you can, charge your device to its fullest. Now go into the settings, scroll down to 'development options'. Near the top of this menu, make sure the toggle switch is in the 'on' position. Now scroll down to USB debugging, and tick the box. Tap "OK" when the message shows up. Now plug the smaller end of the USB cable (preferably the one that came with your Nexus) into the bottom of the tablet and the other into an open USB port of your computer. It's best to use a 2.0 USB port (no blue end) and if on a desktop, a port located in the rear.

If your computer starts installing any drivers, let it do this. Once that's finished, go to the window with the Platform Tools folder open. You should see a few files, two named "ADB" and another "Fastboot". Now hold your Shift key, right click in an open area, and choose the option "Open command window here". You may release the shift key at this time.

We're almost done. To make sure your tablet is seen by the computer type:

adb devices

One device should be listed. If you see no devices, adb can’t communicate with your device because its driver isn’t installed properly. In this case, go back to the SDK Manager and download the USB drivers. You may also need to restart your computer.

Assuming you're up and working, type:

adb backup -apk -shared -all -f C:\backup.ab

This backs up all the installed apps (APK files) and shared storage (SD card) data to the C:\backup.ab file on your computer.

After running this command, you’ll have to agree to the backup on the device. You can also encrypt the backup with a password here, if you like (leave it blank if you don't want encryption). Depending on how much data there is to back up, this can take some time. The device will letyou know when it's done.

Now for the restoration process:

On the new device, make sure USB debugging is enabled. On the computer, follow the same steps for opening the adb command window. Ensure adb can see the device, then type:

adb restore C:\backup.ab

On the device, you will need to confirm you want to do a full restore. If you encrypted the backup, enter in the password, then hit "Restore my data". If you didn't add encryption, then leave that area blank. Once the restoration is done, you're good to go.

Hopes this helps you (^^) Oh and if you need further explanation or screenshots, just let me know.