First they noise. Does it appear to come from the front, the rear, the left front...etc?
As far as the shimmy in the front. Tire balancing is the first step in identifying these problems. After this, you need to do the shake, push pull, jerk test with all your components in the front end. Jack up the front so that both tires are off the ground. Grab each front tire and push-pull psh-pull with one hand at the 12'clock position an the other at six. This can give you a feel for wheel bearings (outer) and your ball joints. Next do this at 3 and 9 positions. Have a helper observe your steering linkage. Notice for slack in any of the ball joints ie tie rod ends, steering etc.
Also do a thorough inspection of sway bar rubbers and control arm bushings rubbers.