My main defense gun is a .38Spl "J-sized" snubbie, a late '70s Charter Undercover. *Wonderful* gun; later editions of the design under other companies had spotty QC, so I don't recommend these unless you're willing to really study up on 'em.
Anyways.
First thing, I recommend doing some "sandbag shooting" in SA that'll allow you to establish just what the gun can do separate from your skills. Do that fairly early because once you're convinced that the gun can do it's job, it's a strong confidence booster that you can bring your skills up to meet the gun.
This step will also tell you where the sights are printing. If the front sight is "just as fat" as the rear sight channel, it's possible to polish one side or the other to "center up" the groups and make the front sight overall a bit thinner, which is often a good thing. If the front sight is too tall, file it some.
Once the sights are fixed up, paint 'em. I like neon orange front, white rear. Fingernail polish works as well as anything else
. Not macho. Who cares
.
Grips: I have a theory that if you're shooting from a Weaver, you can achieve a grip whereby your strong hand forearm lines up perfectly behind the frame/barrel of the gun, behind it versus to one side, and forming one continuous line. To do that, you need a specific grip diameter that matches your hand size.
Other advantages to that alignment: if you have to shoot one-handed, the alignment will be the same. Better, if you have to shoot at close range with no sights, you end up using your forearm alignment as a "large crude point-firing sight" so long as your wrist is rigidly locked. It won't be all THAT accurate if you're not a natural point shooter, but close-up it should be better than flex-wristed point shooting.
In my case, I'm fairly big, and use Packmeyr rubber grips that cover the backstrap - the Compac grip, which is also available for Taurus/S&W/others. If you have smaller hands, a smaller grip might work better.
Finally, practice
.
What can you get out of all this?
I was able to do some outdoor shooting not too long ago, 50 yards at a torso-diameter metal trash can. I was able to hit it five for five with the aforementioned snubby, firing SA. OK, not THAT impressive, but it gives one strong confidence if dealing with a closer-range threat.