The west loop has a ton of hotels and aren't far from the United Center. That area has been booming for a decade and has a lot of Chicago's hottest restaurants like Publican, Momotoro, and Au Cheval. The hotels are generally more expensive though, you're not finding a Holiday Inn over there, but they are nice. I worked on the Hoxton Hotel. You can hop on the green or blue line over there for like one stop and that will drop you off a few blocks from the UC. Some restaurants and bars also have shuttle buses, but I don't remember which ones those are. You can also walk it, it's about a mile depending on where you're staying.
The area right around the United Center is not nearly as bad as it used to be as development has pushed west. There are a couple hotels around the medical district that are perfectly safe places to stay, and are also close to some good eats on Taylor Street, especially if you like Italian.
My favorite deep dish places are Pequod's and Art of Pizza, but Lou Malnati's, Pizzeria Due, and Giordano's are fine too. There's a million places to eat, and I could never list them all. So if anyone wants specific recommendations or in a certain area, just ask.