I like the idea of the zappy combs, but they can shock you if you're not careful (not bad, but enough to make a kid not want to sit still for the treatment), and they can fail. If the price was a bit lower, I might consider trying it (though I hope we'll never again be in the market for lice remedies).
If I remember right, we used olive oil (supposed to suffocate them and dissolve them...only two types of oils do this, olive was one). Put oil on kids' heads (and ours to be on the safe side), wrap in cling wrap, watch a movie. Have towels on the couch, cause the oil is gonna seep out. When washing hair, we used some vinegar (not too strong, and be extra careful it goes nowhere near the eyes). Anything they'd worn in the past week was bagged up and not touched for a week or two (however long the entire life cycle of a louse was, from egg to hatching to dying of starvation), afterward they were washed as normal. Bedding was washed right away though. Used comb multiple times daily at first, then down to once daily or so. After no lice or eggs had been found for a while, we would go a few days between checking. After a couple weeks everything was back to normal, no pesticides were used (only olive oil and vinegar were put on kids' heads), and there hasn't been a repeat yet.