Get a bunch of tuna cans, first about 15 oz. of them, then about 23 oz. (close as you can get them) and put them in your pocket to appreciate the weight difference. The weight difference might put you off if you are a small-framed person. More importantly, grips can make a huge difference in "felt recoil". The exposed backstrap can be covered to cushion your hand better. But, big grips reduce concealability. The best thing to do is practice and this will help to condition your hand. Once you are more used to shooting the J-frame, you could go back to the stock (skinny) grips.
Having said all that, I don't own a J-frame (yet). But, what works on slightly bigger models will work on the smaller ones, imo.