So as a Notre Dame fan who does NOT follow college baseball, what should I expect out of a family trip to Omaha?

Long story short, I have a family with 2 young girls who have been into baseball this year. I've heard good things about the College Baseball World Series being a fun experience in the past, but no idea if it is family-friendly, if there are a lot of events outside the games, etc. I've got an 8 and 5 year old. Is it worth considering a decent trip out there or should I park it till they're older?