[JustROLLIN]

There is really quite a few possibilities.

If the problem only happens at high speeds, like when you are cruising on the freeway, the problem is most likely a wheel inbalance.

Another possibility are the tie rod ends. The reason I say this is due to the symptoms. Seems like there is play in the tie rod ends and the slack is taken out of them when you turn or "sway."

You can check your tie rod ends like you check a wheel bearing, but at different corners. Instead of grabbing the wheel at 12-6 grab the wheel at 3-9 and give it a wiggle back and forth. The wheel should be tight and have very little play in it. If there is play, have a friend do it while you look at the tie rod ends. See if they are moving back and forth while being wiggled.