yo D!
My initial guess would be that side's shock absorber(s)
"One visual indication of tired shocks is worn out and cupped tires
The only way, up until recently, to check shock performance was a test drive or bumper jounce test – both of which are very subjective. The first reason for shock absorber replacement is physical damage. Damage is checked visually and could be:
Pitted, bent, or broken rod
Severely dented dust shield (such that shield restricts shock movement)
Severe leaking from shock
Worn or missing bushings
Abnormally worn or cupped tires "
read more on the testing at
http://www.hunter.com/pub/undercar/4187T/index.htm
CHECKING SPRINGS
Sagging springs can cause sloppy handling of your car. Check the springs simply by observing; if one end or side of the car is lower than the other, you have a sagging spring that must be replaced.
Read more here
http://www.partsplus.com/PDFs/Susp.pdf
GL!