"take it apart and polish it.." some might think this is the best answer so far, but to me, its the worst recommendation commonly given.
I think anyone who tells you to take apart a S&W revolver and polish it should also include the advice of "and buy another one, for when you wreck that one.."
People will say, "its a simple job, and anyone can do it" and that is, in part, true, anyone can do it, BADLY!
Just watching someone do it on U tube isn't qualified training. Over the years I have seen MANY S&W revolvers that had been damaged by people who worked on them and didn't know the RIGHT way to do it.
Do you know the correct way to remove the sideplate? Its not quite as intuitive as you might think. Done wrong, you can warp, bend, scratch, burr or otherwise damage it.
"Polish the internals"?? Polish WHAT? How much? with what? how much is enough? How much is TOO MUCH?? You need to know these things, because just a TINY bit of "too much" in the wrong spot and you'll need a new part. Do it in the really wrong spot, and you'll need a new revolver.
I say just shoot the snot out of the gun, it will improve. Friend of mine who's had dozens of stainless S&W gives the same advice. Every one he's had, has improved with use, without being worked on, by anyone.
If you're determined you want it worked on to "improve" it, take it/send it to a QUALIFIED gunsmith. Someone who is an authorized S&W warranty repair center, at a minimum. The guy who calls himself a gunsmith because he assembles AR rifles from parts most likely isn't a good choice to tune a S&W.
I've had the proper training, I was instructed by the USAOC&S. I graduated 2nd in my class. I own several S&Ws and I don't touch their internals and won't unless something breaks, there's simply no reason.
If you want work done. go to a professional and have them do it. Pay what they want, and get something done right. I know how, but I don't do it, because I don't want or need to. You do what you think is best, its your gun, and your pocketbook. My advice is worth what you paid for it, but I think its sound.
Just shoot it and enjoy it, I think you'll find it improves over time /round count. And even if it doesn't YOU might!