Our kids are 2 yrs / 2 grades apart boy / girl. Our older kid is in public school and the younger in private.
On the negative side, it is a logistical nightmare. The schedules are different, drop offs and pick ups conflict, the evening events conflict or worse happen on different days so we end up at some school event more often when they would otherwise be combined. School expectations and rules are different and we have to keep track of what school has what requirements. It’s annoying.
On the positive side, the private school will actually willingly accommodate our younger child’s learning issues. The public school is theoretically required to do that, but unless they get an excellent teacher, the reality is that it takes continuous advocacy and threats to get anything implemented.
Regarding dynamic between the kids, our public school kiddo has no interest in the private school and doesn’t feel deprived. That kid has a community at the public school and doesn’t want to leave friends behind for a “fancy” school. Public school is way more flexible with looser rules allowing far more independence than the private school, which is actually a huge benefit. The academics are also less rigorous which suits the older kid who is a bit of a slacker.
As our private school kid gets older, that kid has actually expressed interest in shifting to public school for the increased freedom and larger friend group available. We’re trying to work towards a solution to allow that child to return to the public system - by hiring an educational therapist and advocate to assist with getting the accommodations that will be necessary for that child.
The learning so far for our kids has been that different kids have different needs and there are pros and cons to public and private school. One is not necessarily better than the other. So far we haven’t see jealousy or one kid feeling like they got the short end of the stick. I do wonder what they might think when they are older and better understand the perceived “prestige” of the private school. Only time will tell.