Finishing it
I could have built the complete device inside a really nice casing and make it
seem like a professional device. I didn't. Instead of it I only took the most
minimal steps needed to provide protection to the electronics: I screwed a piece
of wood (MDF, actually) to the back of the LCD.
The piece of wood.
The 'poles' on which the LCD can be screwed, actually are
these little thingies you use to keep some distance between the motherboard and
the backplate of your PC. I had enough of them lying around, and they seem to
do the job perfectly.
A Multitool has been used to make sure the screws don't stick out
Finally, the touchscreen was fixed with ducttape, which ended up covering the
wires to it nicely, too. While unintended, the shiny black tape gives the
device a nice, PSP'ish, look.
The final hardware in place