[tanas]

what do you mena by swaying?
if you mean body roll, or tilting to the side when going around a corner, then you may need stronger struts/shocks
if you mean a slight shaking side to side then a strut tower bar and other supports to stiffen up the body might help
if you mean shaking up and down, or forward and back, then you might have brake shudder and warped rotors

please explain cause there could be many causes and many solutions.