I would be surprised if your shocks are worn out at this mileage. Unless they are leaking they should be in reasonable shape. There are MANY things that could cause poor handling. Buying shocks thinking that it may cure the problem is absolutely a shot in the dark.

If you do buy shocks, KYB's are like bolting steel rods in place of the shocks. Buy Bilsteins.

Put the car safely in the air and start pushing, prying and prodding on all suspension components until you find something loose and replace it.

Good luck,