We have been mentally trained from birth to trust our health providers. No matter who we are the people in a white coat have a halo effect; it blinds our consumer oriented mentality. Comparing hospitals and doctors is a healthy practice since past performance is the best predictor of future outcomes.
Learn about your health, your procedure and educate yourself about the complications and risk of the procedure or treatments. Research specific questions about these risks and complications including hospital based risk like infection control. If these statistics are being measured and they are willing to compare, it is a good sign of quality management at that institution.
Overall, there are neither perfect choices nor perfect doctors, but being able to find one that specializes in your treatments is important.