Whatever you choose, practice with it until its safe and correct operation is second nature to you.
With a DAO, all the shots are the same. The trigger pull is a long, hard, double action pull which brings the hammer back each time. The hammer never stays cocked. I think this type of pistol is one of the simplest to handle, and is consequently easier to learn to handle safely. Most don't have any manual safety to forget to engage. However, the hard, long trigger pull requires a lot of practice to achieve reliable accuracy, especially in high stress, rapid fire situations.
The DA/SA pistols have the hard double action pull on the first shot, then give you a nice easy single action pull for subsequent shots. Two easy ways to screw up badly with one of these are: 1)-forget to decock it before holstering (can result in ND); 2)-forget to take your finger out of the trigger guard after firing shot(s) in a stressful situation, resulting in a ND; I seem to recall a Maryland cop putting a round in the back of a suspect's head that way while he had the suspect in custody against the patrol car. Again, practicing the safe and correct handling methods will minimize the chance of making a stupid mistake like this. Also, there are differences between models and makes of pistols. Some have a manual safety and a decocker, some have only a decock lever and no manual safety, like my P89DC Ruger.
Single action pistols, IMHO, require the most discipline, and are the most unforgiving of stupidity, because of their always-cocked operating mode and the light, short trigger pull required to fire them. I think the most effective mode of carry for a single action pistol is with the hammer cocked, a live round chambered, and the SAFETY ON (i.e., "cocked and locked"). I personally like a holster that has a strap which goes between the cocked hammer and the frame of the pistol, if the pistol has an exposed hammer, like the 1911 style pistols. People also carry these pistols with an empty chamber and the hammer down (safe but slow), and some people chamber a round and then manually lower the hammer to either a de-cocked or half-cocked position, depending on the gun. This can be VERY DANGEROUS depending on the design of the pistol: Does it have an internal firing pin block safety which automatically prevents the hammer from striking the firing pin unless the trigger is pulled? If not, then manual decocking can be dangerous, and also the pistol will discharge if the hammer is struck. That'll never do. Don't ever carry a gun of that type in that condition! If you think you'll never drop it, think again. It can happen to anyone. Again: KNOW YOUR GUN, and practice, practice, practice with it until you do the safe and correct thing by habit.
These are just some thoughts I had on this question.
Happy shooting. Be safe. Above all, keep your finger out of the trigger guard until you are on target and ready to fire.
-10CFR