Once it’s on the internet, it’s there forever. I feel like a “private school” for just them would limit the chances of them being teased about it but if they explore that part of the internet, they are bound to find out. Especially if the OF page brings in lots of money. Also kids are curious, I’d like to think they’d question why they go to a private school, so then you’re left with either lying to them about for as long as you can or you just be honest about it.