There are many joints in the front suspension that can squeak. The lower control arm is one, the Forward thrust arm has a ball joint at the steering knuckle. The tie-rod ends have a joint. The swaybar end links have joints too. In my experience, these have been the cause of squeaking similar to what you've described. I've replaced the sway bar end links due to squeaking. I've also replaced the lower control arm with ball joint due to squeaking, like mrbmwx5 referred to.

One way to narrow it down is to have a friend help you out. One of you can get down near the suspension and the other can help rock the car (standing in the drivers doorway) or turn the steering wheel (be careful).