I'll tell you why I buy triggers. Don Cothran roller trigger is the best I have found. It is on a par with the 1701P trigger group IMO. Still need to polish sear & hammer & new spring & guide work but the trigger makes a big difference. The more discerning shooters prefer the 1701P trigger group. (I'm not that good) I have the same lack of tools as you and could only make a mess. Hope you are much more talented than I, wouldn't take much, and can get the job done.
I think the gold standard of Crosman triggers is the 1701P trigger ($40) with a shoe ($10). The 1701P trigger comes with a grip frame, but the components should fit right into any newer 1377/1322. You'll have to fill the groove on the hammer, as the sear engages the front face of the hammer, not the groove.FWIW, I have the 1701P trigger (I installed just the trigger group and sold the grip frame) and it is a big step up from a thoroughly polished & lightened 1377 trigger. I added my own custom-made shoe.JMJ
The only hassle will be the hammer weight and I can handle that. I have seen guys filling with JB weld and coating with the cryoacrylate glue etc. I have a filled hammer on mine. Use the steel-filled "slow set" JB weld, as you need a hard material there to resist wear from the sear. JMJ
The whole 1701p frame bolts right on. I transferred the trigger group in mine because I have an extra hole tapped on the bottom of my grip frame to tighten up my 1399 rear stock. I'd have had to recreate this tapped hole in the new 1701P frame. As it was, I just drilled and tapped a hole in the trigger guard for thue trigger limit screw in my existing frame.I suppose you could fill the sear contact area with something harder, but remember you have to smooth this area after filling. The hammer is hardened steel, so machining this area and inserting something flush with the OD will be difficult. I chucked mine in a lathe and turned & polished the filled area to the same diameter as the hammer OD.JMJ
I assume the weight you are referring to is the hammer, correct? If so, the 1701p and P-rod hammer is a larger diameter... Actually the same as a 2240. So when doing the trigger swap on that gun you can just get the 1701p hammer and striker (reuse the existing pin) for a direct swap with no other modding required.