Front Tires Bouncing When Turning Right or Left

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I have a 2003 BMW 745i with 48,700 miles on it with Continental Ultra High performance radials front and back, They have 10K miles on them. I recently noticed that when turning right or left from a stop the front end of the car seems to have a bounce in it. I have had a local service shop check front end and they found nothing?? The problem is getting worse, I have been told that it could be a strut but not convinced with that assumption. Maybe a broken belt in the tire?? Any suggestions welcome.

Thanks in advance.
GoFast745i