I am having trouble with your description of the problem.

"Front end bounce" to me describes the vehicle bouncing up and down as it would if you went over a hump in the road and the shockers were stuffed. Easy to see and easy to fix.
But some of your description sounds like the front wheels are shaking in and out, which would be described as a "steering shimmy" or "wheel wobble". This is normally (but not always) felt in the steering wheel, and there are a few things that can cause it -
Tie rod ends
Drag link joint
Upper and/or lower control arm bushes
Upper and/or lower ball joints

A good suspension place or general mechanic would easily test and isolate the problem.

Good luck with it.

PK