Welcome to St Louis! You're coming at a great time of year.
If you are iDine people, I recommend:
Corwin's, sports bar, right down Brentwood Blvd from where you're staying. Great food for a sports bar, with good homemade soups, decent pastas and salads, and a small ribeye that I really like.
Felix's, in Dogtown, Wednesday night is filet night, with a decent filet, potato(try the blue cheese au gratin, very yummy), veggies and GOOD salad for $10.99. The giant pork chop is also very good and quite filling.
Momo's, Greek tapas place in U City, also close, fabulous hummus and a dessert called milk chocolate baked in phyllo dough that is outstanding. They also serve a good mojito. Belly dancers in the evenings (Never on Sunday).
Blueberry Hill (not iDine): On Delmar in University City, 5 minutes from where you are staying. Best hamburgers ever, this is what the Hard Rock Cafe wants to be when it grows up. Check the schedule, Chuck Berry plays there often in the Duck Room (named after his distinctive walk). Owner Joe Edwards has filled the place with memorabilia including Howdy Doody and other icons of Baby Boomer youth. The jukebox is filled with great music of every type, cutting edge punk (or whatever cutting edge now is) to old classic rock n roll. Down the street is the Pin Up Bowl, a retro bowling alley also owned by Joe, where you can find Nelly when he is in the Lou.
http://www.blueberryhill.com/
That whole area where Blueberry Hill is, called the Loop, is great with lots of eclectic shops and restaurants, an alternative theatre called The Tivoli, record shops, galleries, etc.