Welcome to the wonderful world of nits! I'm no expert myself, Marina, but here's what I do, learned through trial and error with my oldest and now applied to my nearly 2-year old.
Wet comb with conditioner once a week as a precaution. Look out for little bits of black grit attached to the hair near the scalp. These are eggs. The nits themselves do crawl around, like tiny beetles.Easier to see on lighter coloured hair.
If an egg or nit is still there after you have wet combed, get each between a finger and thumb nail and move it along the individual hair until it is out.
If you see and remove eggs etc, assume you havn't got them all in one go. Wet comb the next day too. Repeat until you have one nit free day, then you can assume you are free of nits and go back to a once a week routine. (Must say I get a bit lazy at this point and it might end up being once a fortnight).
Also you can try a shampoo. I tried one called 'Full Marks' available behind the counter at chemists. It is suitable for the whole family - we have all used it. I used it on my youngest when he was 14 months old. No problems whatsoever, no tears because the shampoo was too harsh (something I was dreading) and it did kill the live nits. But there were still some nit eggs left, possibly dead, but you can't be sure. You still have to pick these out.
As for the approach you take, difficult. Bug busting is sooo boring, isn't it? After years of pretending to my older son that it was a nice-ish and necessary part of his weekly grooming regime, I came clean and told him I hated the whole thing as much as him, as in 'come on, let's get it over with so we can watch TV'. Shared misery produces a slightly more cooperative attitude. And son takes great delight in being shown the 'evidence' on the comb. I usually over-exaggerate the size and virulence of the little commuinity residing
in his hair, to make him feel the combing is really worthwhile. As in ' you should have seen that one, it was enormous - it must have jumped 6 inches .....'
This approach may not be appropriate for your son right now, but possibly worth bearing in mind for later.