There are two things on a S&W revolver that contribute to how the DA pull feels, the trigger rebound (or return) spring and the hammer mainspring.
In a SD situation it's likely that you'll not be that cognizant of the DA trigger pull, with the adrenaline going and the dynamics of the situation at hand.
The rebound spring is an 18 pound spring (according to Wolff), I replace mine with a Wolff 15 pounds and that's as low as I will go, otherwise the trigger return speed become too sluggish for my tastes, plus if you go too light on the rebound spring you begin to experience the trigger hanging up during the return. I've been using that 15 pound spring without issue for most of my S&W revolvers for 40 years.
Changing the hammer mainspring is an entirely different matter, because you often run into reliable primer ignition issues with a lighter spring, which can be over come with other modifications, but I certainly would not recommend this for any gun being used for self defense.
It's been mentioned that the first course of action is to smooth the action parts, on the older guns with forged/machined parts that's certainly true. But it's been my experience with the two newer S&W's I have with MIM parts, is that they are already fairly smooth because they do not have the traditional "rough' machining marks as the older guns.
I'd say have the rebound spring changed to a lighter weight spring, and then practice, practice and more practice with that gun to get used to it and become proficient with it.
The Jerry Kuhnhausen book has been mentioned, lots of good information but it's in what I call a "text book" technical format, not something for the uninitiated.
I like to recommend the Jerry Miculek "Trigger Job" DVD, his video gives a good overview and insight on the mechanics of the S&W lockwork, but there is also one drawback with that video, it's based on the older S&W's without the frame mounted firing pin or MIM parts, and does not go into them.