Portable PS2

Hello everyone, I've recently registered here, basically because I'm starting this new project where I'd like to turn my slim ps2 into a portable device. My main goal is to have a box with a screen, a joystick port, and an usb port aswell(To run the games from).
I'd like to ask a few questions to direct myself in the right way.
Which is the most reliable way to run ps2 games from a pendrive? The objective is to get rid of the big cd reader.
At the moment I have an spare notebook display, which is a 40pin LP140WH1, it's 14" and LED. Is in the market any kind of AV, (the ps2 video out), to that? If not, what's the best screen I can get?
Have you got any interesting tips?
I'm sorry if I had written something wrong, as you could tell, english is not my native language.
Thank you very much!!