Avoid North Omaha
and
Enrolling kids in the Omaha Public Schools is basically child abuse (I know....I teach in them). Enroll your kids in Bellevue, Millard or Westside.
Also, South Omaha has a Hispanic gang problem, and the mayor refuses to acknowledge that Omaha has any gangs at all (he's a dumbass Democrat), so Bellevue, LaVista, Ralston or west Omaha would be your best bet for living here.
One downside, though, Nebraska property taxes are through the roof.
How about district 66?