Specific neighborhoods: I have waded through lots of great questions & answers about where to live in Austin.?

We are hoping to move to Austin next summer but need to pinpoint specific neighborhoods to look into. We have 3 kids - 2 high school, 1 middle school. All the ususal requirements - safety, schools, near the city etc..everything we read is general - and hard to differenciate. We are considering private schools and hope to look into more up-market neighborhoods..Any specific ideas?? Internet searches are great - but only if u already l know which neighborhood you want.