By way of introduction, DH and I are not British by birth, we moved to the UK as adults and are naturalized citizens. Our oldest is in primary school, but I'll be the first to say I have not a clue what to look for in a Scottish secondary school, except that our catchment one (Craigroyston) is not right. With youngest starting primary next year we're thinking about taking the next step to a bigger house, with a proper WFH space, so probably a 4 bed.
With at least 50% WFH likely to continue long term for our particular jobs, we don't mind being farther from our workplaces, which are relatively central. I don't think we can afford the size of house we want in either Gillespie's or Boroughmuir catchments. Budget is £420K tops, £400 comfortably. The Royal High is a definite possibility, but also ok to look farther afield.
What school catchments would be a good bet? Oldest child is high functioning autistic, very bright, has not needed any support for mainstream but we foresee issues in teenage years, so I'd be particularly interested in hearing about anyone with a similar child and what their school has been like.