I went to state schhols and have no kids atm, but I'd love them. I'd judge it on the merits of the school I guess; private schools aren't necessarily better; I have friends from private and state schools, although I admit that when I was at Uni I really found many private school pupils way too up themselves, but most have mellowed over time, the ones who haven't would've been pricks anyway.
I know some of the most left wing leaning people who were so anti private school until they had kids and then they had something of a rethink. I live in Hackney and whilst my local primary school is fantastic (no I don't hang around the playground) I'd not want them to go to a secondary round here.
I don't think I'd like my kids to board - it's important to be around your parents and besides, I'm not going through all that effort to bring up children only to miss a huge part of their upbringing.
Additionally, when I came to do my A levels I went for an assisted place at our local private school Gresham's in Norfolk. I got through so I'd have recieved free tuition, but I'd have had to board (not THAT local) and even when they offered to waive 75% of the boarding fees we still couldn't affford it. My dad's response? "good, they turn out right little shits those places." Gee, thanks dad.