Most visitors will go to Dickson street near the university. There are several good places to eat, drink, etc. It's a fairly condensed area. Doe's Eat place is always good for a good steak or you can step it up a notch and go to Bordino's. You'll probably need a reservation.
Since there will be a lot of activity this weekend, with the baseball game and Spring game, it will be fairly crowded.
Your second option, would be to head up north to Rogers and Pinnacle. There are some restraunts in the Promenade that may be of interest, PF Changs, Texas Land and Cattle, among a few others. Directly across 540 at the Pinnacle Hill shopping area, there's Ruth Chris, but I recommend Bonefish grill (get the Bang Bang shrimp).