Go to:
http://www.splashtop.com/personal
Follow the 3 steps.
Connect the pc with the streamer from the app on your mobile phone/tablet.
Start TPT.
Don't know if it works on all devices but it works with my tablet(ASUS Transformer Pad TF300T).
As long you have android or apple(not food) it will work.
And I forgot to say that if you play in fullscreen you also need large screen on.
That's possible but slower than splashtop.
How do you even know tpt runs slower withteamviewer than flashstopwhatever if you never tried it out...
I tried it
I know but the connection speed of teamviewer is slower. If you try yourself you will see the difference.