Be aware that replacing the connector with a "reduced weight version" will eliminate the crisp, SA-style break at the end of the trigger pull, and replace it with a (slightly lighter) mushy break. Some people like that, but some of us definitely do not. I tried it and immediately went back to the stock connector.
My personal approach is to do a light polish and add a competition trigger spring and a lighter firing pin safety spring. Some people go further and replace the striker spring with a lighter one, but I don't like the implied consequences for ignition reliability, so I don't replace the striker spring.
The polish and swap of two springs will retain the crisp, SA-style break of the stock connector, but will noticeably lighten the first stage of the pull. The change is more incremental than revolutionary, but it shifts the style of pull slightly in the direction of a "SA trigger with a long take-up" and away from "DA trigger." I have a strong preference for this setup.