Scarsdale is a great town about 15 minutes north of the city. You can take the Harlem line into Grand Central or simply drive. I go to high school in Scarsdale and the teachers are cool, the school is real nice, the schools are great, we have a nice student lounge, the people are classy but also uptight. And a major plus for the Northeast is that the houses are distinguishable.
Scarsdale sounds like a good place for you and your family.
Village and Town of Scarsdale
Home
Schools
Scarsdale Public Schools Home Page
Video Tour of the High School (The Introduction doesn't seem to work on my computer but the others do)
Virtual Tour (broken link)