The problem with a 20+ year old front end: Everything. Changing shocks may help. but will not solve your issue. Everything is worn, (assuming you havent replaced anything yet) so the little bit of play that all of the components have are giving you one big symptom.

Control arms (with bushings)
tie rods (all of them) 3?
front shocks
sway bay bushings

the control arms are pricey, but are worth it whole when you consider bushings, + ball joints+ getting them pressed in.

Good luck

__________________
Eugene

10 E63 AMG
93 300te 4matic
07 BMW X3
14 Ford F-150 Fx2