I play recorder right-handed - but again, the left and right hands have to do similarly complex work. With guitar (where I strum a few chords) I have reversed the strings.

I may investigate the knives idea. My mother, who is also left-handed, annoyed me for years by always laying the table in a right-handed way, even when it was just the two of us eating. I used to berate her for false consciousness - before it finally occurred to me to lay it myself. Might it have been her way of hinting that I didn't pull my weight?