I deal with alot of computers, and I can only give you my way doing it,
Leave the power to your computer pluged in and turn off ( computer frame still earthed, keep one hand on this while handling around the chip.
touch a large earthed device around, radiator (touching showing copper not paint ) before and anytime when you have to walk away from the computer, walking causes a bit of charge.
dont do it if your on a floor which is pron to static charge (nylon is the worst I think)
well... someone stop me if i'm wrong... just a electronics newbie