Denny, as mentioned lots of things can cause "shimmy". I'd start with the obvious easy things first, like tightening the wheels, I know sounds to easy, but they do work loose.
Kingpins can be checked by jacking up the car in the front. Grasping the wheel with one hand on top and other on the bottom and try pushing in and out, there should be very minimal play.
Get a hold of the shop manual and read about "trouble shooting" suspension.
Good luck, let us know what you find, okay?