Shaking in steering 01' 330xi

This is my first E46 and my first post here on fanatics, I recently purchased this car (3 weeks now) and started a getting vibration (shaking) in my steering wheel on my 01' 330xi auto when accelerating between 45-60 mph and breaking around the 45-55 mph range.



I had a local shop look at it and says the transfer case needs to be replaced as there is slight play in the DS at the TC. Second shop says change the rotors and pads (shakes under acceleration too though at 45-60).



Any ideas would be greatly appreciated.....



Thank you!