They are powerful enough, do not need much energy and are cheap. For these projects I love using Raspberry Pis. Now after building the frame and preparing the mirror as well as the TV the last missing component is some source for the images that the TV should show in the mirror. It worked very well for its price altough the mirror effect is not perfect (to be fair its not made for that). You can find the film I used in the list at the end of this article. The bubbles you can see in this picture went away after some time when the water underneath evaporated. It was not quite wide enough but that is fine and the edges will be hidden inside the groove in the frame anyways.
Afterwards I trimmed the film to fit the glass.