If you are adverse to taking things apart until really needed, and you have an SB-2 frame, the quick&dirty (not really dirty, but you get it) way to improve the trigger is to get some slickum into the hammer notch and sear via the back end.
Drop the buttstock, and even the forestock and barrel if you really want it all easy to manipulate.
Peer down into the works from the holes in the rear of the frame with GOOD light and located the 'line' across the back of the hammer (with hammer down), that is the hammer notch that the sear on the tip of the trigger sets into when cocked.
I like to use one of those spray electrical contact cleaners with the tube like a WD-40 can to get down there and lightly spray off the notch. It flushes off gunk and dries quickly.
Then using your favorite slickum (I have S&W's high content teflon) get a drop right onto that notch. This might be tricky but can be done.
Work the hamer back and release the trigger, dampening the hammer fall. Do this about a dozen times to 'work the lube into the surfaces.
You trigger should be better, sometimes A LOT better.
Button up and go shooting.