I really don't have much else to add - everyone's said pretty much everything I'd recommend for a few days with all the big sights. EDIT: Apparently I do lol.
Definitely head to the museums, the kids will love them (ESPECIALLY MSI, the Museum of Science Industry, and The Field Museum, lots of incredibly cool interactive exhibits that change frequently and are a lot of fun for kids while staying very educational).
Navy Pier is great as well, provided it's not cold, rainy, and gross. If the kids are old enough to appreciate it (slash they may have shows geared towards younger kids? I don't recall) check out the Chicago Shakespeare Theatre on Navy Pier; great takes on Shakespeare's works, all in a perfectly recreated yet still modern Globe Theatre (the original theatre in London where his plays were performed). If they have younger-crowd angled shows, especially matinees, they'll probably be really decently priced (their college rush tickets are $20-$25).
If you're also into shows take a look at Chicago Symphony Orchestra - they do different shows geared to different ages like any creative group in the city. And their performance space, Orchestra Hall, is just beautiful.
Like people said too, definitely Millennium Park for the bean and, if it's warm enough, the water displays. Buckingham Fountain in Grant Park is great. Another definite, depending on the age and interest of the kids, would be a guided river tour. There are tons available, something like an hour to two hour cruise down the river through the middle of the city, with the different options geared towards different information (ex. I went on an architectural one once, so highlights were things like the Trump Tower and the Tribune building).
Oh, and definitely the Sky Deck at the Sears Tower (er, it's called the Willis Tower now, but I'll never call it that). Choose the clearest day you can for that trip and you can see miles across the lake and even into the suburbs.
Finally, restaurants: I've been to Ed Debevic's multiple times, like @
icephoenix21 recommended, and think it would be a TON of fun for the kids, no matter the age. It's a 1950s-esque diner feel (so a menu of burgers, fries, pie, etc. classics), and yes, the waiters are intentionally rude, but all to be hilariously over-the-top sassy (like they'll come up and yell at kids for not eating their vegetables) before they put on little dance shows around the restaurant. It's very entertaining.
Otherwise the Rainforest Cafe is either right across the street or just down the block from Ed's, and is another great option. But yes, if you're in Chicago definitely get deep dish pizza, it's only the best there. My personal favorite is Lou Malnati's, but almost any place will be great.
One last bit: baseball's opening day is April 1, and while my roommate (a HUGE Cubs fan) told me their first home game isn't until April 8, if you're interested in the White Sox, they may have a game.
Phew! That's all I've got for now, but I'll let you know if I think of anything else!
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