stoning
I'm not sure of your past experience with revolvers, but I wouldn't be in too big a hurry to try to fix a J-frame trigger pull issue by stoning the action. A lot of harm can be done to your revolver by doing this, especially if your experience is limited. Because of the design of the action itself, J frames have a very "heavy" feel in terms of trigger pull, especially when compared with larger frames, like the K frames, for instance.
You didn't mention the model you are working on, but you'll also want to consider how the gun will be used. Will it be a carry gun or a range gun?
This is a big part of the decision to modify the gun, because the reliability of the revolver will, to some extent, be compromised by spring changes and internal modifications.
I'll assume you are posting about double action.....most of the heavy feedback in the trigger in double action is caused by the mainspring, and because of the coil mainspring in the J-frame design, you're spring options are limited. Wolff, Wilson, Apex and others do offer a slightly lighter mainspring, and lighter rated rebound slide springs, sometimes in "kit" form. These springs can provide a bit lighter feedback from the action in terms of tension. After installation, testing trigger pull results with a reliable gauge, and field testing at the range is always a good idea in order to confirm reliability.
WILSON COMBAT #321 S&W J FRAME SPRING KIT | Brownells
Reference your question about stones, S&W armorer's tool kits come with a 6"x1/2"x1/2" Norton medium India stone, which is used for dealing with burrs on hardened internal parts, and for sharpening the trigger bevel to repair push off. They are available from Brownell's, and other places. Always fall back on your training, and use caution when considering material removal....unlike the barber shop when you make an error.....what is removed won't grow back.
NORTON 6" X 1/2" X 1/2" INDIA STONE | Brownells
Carter