I brought the psp before one year. We can use a memory card upto 32gb. It costed 8000 rupees . I got inbuilt memory card of 8gb with it. The analog is quit easy, its just like playing with a joystick in ps 1 or ps 2. I have installed many high graphic games in it such as assasins creed brotherhood, spiderman 3, ultimate spiderman etc. It worked really smooth and it barely got hanged anywhere. The battery standby is more than one day even if we keep playing for a really long time. It takes nearly 1 hour to fully charge. There are many service centres for it too.
The major drawback is though the buttons are ok for rough use, the analog keys are very sensitive and could be easily broken. And there are no large variety of games for psp this makes it little uncomfortable.
But its really good for a time pass during travels, and is worth the money.