Step 1: Better trigger, how much do you want to spend? I consider the BX to be the trigger that they should be sold with new. Everything aftermarket is a step up or more from there. If budget is a serious constraint I'd start with the BX.
Step 2: Better sights, harder to do. The first sight upgrade I borrowed the Redfield Palma's off another rifle for it. I later bought some Lyman 90 & 93 MJT target sights for it, both now NLA.
I built one specifically for optics. Leupold will, or used to, re-set a non-AO scope's focal point for rimfire. I bought a 3-9x compact and sent it in for this. Some on RFC talk about doing it themselves, but I didn't want to mess with a new scope.
Ironically the first mod that I made to my first 10/22 was a .920 barrel. It is not marked, but I think it is a Green Mountain. Bought it now 30-odd years ago. In those days Ruger barrels were notoriously bad. Not so true any more.
ETA: This is the rifle that got the Palma sights and it has been banned as an unfair advantage by my shooting friends in any friendly competition.
