I always had the vague impression that children in wizarding families were taught at home, but not so much like what we think of homeschooling. More like in those older English novels where the schooling is done at home by a nurse or a governess, and seems a bit lax, and then all of a sudden the boy gets shipped off to boarding school. Of course I can’t think of an example now … okay, <i>The Fortsyte Saga</i>, or <i>Love in a Cold Climate</i>. Anyway, I bet families like Neville’s or Draco’s had household staff, not menial workers because that’s up to the house elves, but skilled workers, like a social secretary, governess, etc. The Weasley’s wouldn’t have, of course, not having the money, so they would have managed without.
Yes, I realize that governesses have never been mentioned in the series, but that’s my impression because the books draw so much from the tradition of English boarding school stories.
Back to the this Muggle thing – one thing I have <i>never</i> understood is how so many of the wizards are so clueless about Muggles. <i>Plenty</i> of characters have Muggle in the family, not just Hermione, so surely they visit their muggle grandparents, have muggle cousins, etc etc. At one point in one of the earlier books, I think Ron even says that completely pure wizarding families are somewhat rare, because there simply aren’t that many of them, and eventually some Muggle blood comes in somewhre. JKR seems to have veered away from this in the later books. If Harry’s parents had lived, every indication is that Lily’s parents were proud of her being a witch, and I imagine that Harry would have had a relationship with them, holiday visits and all that.