There is no need to bleed the power steering system after a filter change. We have changed our fluid in both the P/S system, and fan. On the P/S I drain the reservoir, fill it back up with fluid, run the engine while moving the steering wheel back & forth. Then I drain & refill, I did this 3 or 4 times, and seemed to get a pretty complete change. (I switched to Royal Purple synthetic P/S fluid, and it is a different color than the ATF normally used). I used a fluid bulb with a small hose on the end to suck out the fan box. Filled & ran, and then repeated the procedure. I believe it got me a close to complete change.
Steve & Rhonda Bennett
Dana Point, CA
92 Marathon XL40
2012 Jeep Rubicon Unlimited
Owner: California Coach Company, LLC