If I may be so presumptuous as to answer for csmsss, it's, of course, a matter of personal preference.
The ADVANTAGE of the Centennial is that it allows for a higher grip on the back-strap than the Bodyguard which makes it closer to the bore line and reduces upward muzzle recoil when it's fired. I also believe its design allows for better pocket carry in most commonly worn trousers.
Many would say the exposed hammer of the Bodyguard has an advantage over the Centennial because it can be fired single action for longer range and more deliberate shots.
I, personally, always use double-action only and so have had the single-action notch removed from MY only Bodyguard AirWeight so that there can be no claim in court that I had cocked it during an encounter leading to a hair-trigger single action discharge.