A few years ago I had some electrolysis on the few hairs on my chin and lip. She lectured me about not plucking, said it causes the root to twist and just gets worse and worse. The electrolysis worked like a charm and lasted for 12 years. So, i've recently started shaving the few new chin hairs every morning. I think that is working great, and no hairs are apparent to anyone - no plucking necessary.
I'm going to get electrolysis again. the first time it was 15 min/wk for 8 wks, the growth cycle. I've had a completely clean lip and just a few chin hairs since.