Screen Type:
First priority must be Dell then samsung then acer(all with LED-type of screen), just forget about LCD-type in compaq or hp, their laptop screen could not stand the fluctuation of electricity in this town. You will eventually find Yourself buying LCD to connect to Your laptop for replacing blinking(and almost)dead screen.

Processor:
any i5 or i7 processor will do You good, if budget is tight go for core 2 duo (above T6400) or i3 processor. Don't go for slow such as: dual core processor, or ULV processor, or atom.

(Dedicated) VGA card:
Try find laptop dedicated VGA Card (not shared VGA card) any brand such as ATI or Nvidia will do You good.