The car rattles and sway when driving.

I have front end steering or suspension problems. I was told to check my sway bar links but they were fine.

Rattles when at low speeds driving on bumpy roads. Sways when cornering and accelerating. Takes pot holes very hard. I was told it could be my control arm bushings or sway bar bushings. The bushing on front right lower control has started to chip away. I have no idea whats the source of this problem. Could you give me some insight on this matter. What area of my car should I be checking?