I worm every three weeks with a white wormer, right now its valbazen. If the babies are in with adults, or in pens that adults have been in, they will probably need to be wormed with the same wormer you use on your adults, here we are still using ivermectin. Once the kids are several months old, and have developed some immunity to worms and are better able to handle low worm loads without succumbing to parasite overload, then they are wormed according to fecal or on the scedule with the adults, which is usually only 2 to 3 times per year.
Personally, with the babies, because they can succomb so fast to parasites, I don't rely on my fecals for them. I do the worming on the same schedule as cocci prevention, every 3 weeks. They will build up immunity as they age, so this will no longer be necessary once they are a few months old.
Reguarding reading eyelids, you are really trying to save the goats life once they become anemic enough for the eyelids to pale out. You want to get the worms BEFORE they have the chance to suck enough blood to cause death...and a goat with very pale eyelids can die very quickly.