I grew up in New Farm. I went to New Farm State School which was fantastic. There is no High School in New Farm with Kelvin Grove being the closest. However I went to Hendra Secondary College (now Aviation High) and others went to Kedron. Simple bus to the valley and further train or bus to reach any number of public or private schools. Many friends went to Churchie, Terrace, BBC and Grammer. All Hallow, St Margarets were popular girls schools. For state schools while you are mandatory allowed to Kelvin Grove you can apply to any other state school of your choosing and see how you go.
All Hallows and Gregory Terrace are the closest High Schools to the New Farm area. All Hallows is a Private Girls School from Grade 5 - 12 and Gregory Terrace is a Private Boys School Grade 5-12. The closest public High School is Kelvin Grove, approximately 3-4klms away.