Check out the Union Pacific Railroad Museum in Council Bluffs. General admission is free. Hours: Thursday through Saturday 10 a.m. to 4 p.m. The museum hosts a free Family Night the first Friday of every month. The next event will be "Trainapalooza!" on Dec. 6.
Omaha has a lot of family-friendly museums, including the Omaha Children's Museum, the Durham Museum, the Joslyn Art Museum, El Museo Latino, the Bemis Center for Contemporary Arts, the Great Plains Black History Museum and the General Crook House Museum. There's also the Strategic Air Command & Aerospace Museum in Ashland, Nebraska.