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The GRT-III trigger is not only the first mod to make, but the BEST !!!!
I would wait to see how much betteryour groups get after the GRT-III, it makes shooting your air gun fun ! Barrel lapping my not show the results that you hope, with the variations of pellets, you may never see any positive affects.
Trying different pellets will also help your groups, Crosman Premier lights, Crosman Premier Hollow Points and JSB Diabolo Exactsseem to give the best results in most air guns. Others may work better in yours.
You should have cleaned your Storm when you first received it. Then allowed your barrel to season, or allow the lead to fill in the inconsistencies in the barrel.
When cleaning your air gun, it is recomended that you use a weed whipper line run from the breach of the air gun, to thee front of the barrel, the line can be heated and a loop or a ball can be made to attach your cleaning patch to. Use a small dab of Goo-Gone on your patch, and pull through the barrel. Do this two or three times, or until clean, then run dry patches through until dry.
You should only clean your air gun every 1000- 1500 pellets, or until you notice a loss in accuracy.
WHEW ! But now that you are a member of our air gun family, feel free to drop in, kick off your ..shoes and ask away !
Hope to see you here often !
Bill