I didn't have the tools available to machine the factory parts so I ended up going with the PC hammer and sear kit and I'm really happy with my 10/22 now. If you have a newer 10/22 (with the plastic housing, don't forget to order bushings too)
There is also a wealth of knowledge and information available over at RimfireCentral.com - Rimfire Community!
As for the carbine, I can't help you with that one. I'm sure others will know more than I.