Open the UMD slot. With the screen facing towards you, unclip the locks at the bottom right outer-side of the hinge, and the bottom left, inner-side of the hinge. Remove this component.

Remove the four newly revealed screws, in any order. If you're afraid of commitment, you might like to assign each screw a number between 1-4, and decide using a random number generator. Remove this component.

Place the PSP face up, with the joystick side on the right. There are two lock clips located on the right side of the LCD, unhinge these. Remove this component.