I think a tablet/BT keyboard would be ideal for this(self contained power and all), but much less fun.
If you do attempt this. Please post pics. You will need a very solid way to keep the parts safe and a way to charge the battery.
Since you can now get USB powered monitors, a 5 volt supply(4 rechargeable 1.2 volt cells will push more then 1.2 when full. You can almost series 4 cells then parallel it with other sets of 4 to get more current/runtime) is more easy to work with then the 12+ of most laptop batteries(Li-ion require special smart chargers or they can burst).