Yes on the zoo! I would also recommend the Indiana State Museum which is right near the Eiteljorg. walking along the canal is always fun you can rent bikes. There used to be some gondolas down there but I don’t know if they are there anymore or not.
If you want to be in the city theres all sorts of things to do and see. Many good restaurants etc. We have a great zoo and children’s museum. Indiana Historical Society is nice to visit. I’d stop and see Lucas Oil Stadium as it massive. Just walking around downtown is enjoyable. Generally a safe...