Why is your 2001 grand prix shaking at speeds over 60 and making a grinding noise when you turn sharp?

Shaking/vibration at higher speeds and grinding while turning sound like CV joints going bad! Easy enough to find out - next time you take it in to have the tires rotated, ask the tire shop to show you the CV joints - if the boots are torn, it doesn't matter how new the CVs are, dirt and other contamination can trash them easily.