I have a day in Omaha with my daughter on our way through the US, due to get to Omaha on the 5th July, spend two nights there and depart early morning on the 7th July (all travel on Amtrak)

I'm thinking that my 4 year old will probably like to spend most of the day at the zoo (no problems there ) however as a massive Fred Astaire fan, is there anything in Omaha to mark it as Astaire's birthplace that we could visit?

I'd also like some recommendations on where's good to eat
We're staying at the Fairfield Inn & Suites in downtown Omaha, anything within walking distance of there would be great!

TIA