Pretty much every time I go to Ft Worth, I eat at cajun at Razzoos in Sundance Square downtown. Cattleman's is decent for steaks also. The stockyards is the place to go for night life. There are also a few restaurants in there.
White Elephant and Joe T Garcia's are both good. I like going to White Elephant early afternoon, have a few beers, play pool on the most un-level pool table ever, and check out the bands. Then go over to Longhorn, Cadillacs, or Cowboys in Arlington at night.
Near the Convention Center there are several places to eat. Just a few blocks North is Sundance Square. Lots of places to eat around there, Mi Cocina for Mexican, Del Frisco's for steaks, Texas de Brazil for a smorgasboard of meat, Daddy Jacks for seafood, Cabo Grande for Mexican seafood....all of these are located within minutes of the Convention Center.
The Stockyards is a nice place to go if you've never been. If you are around on a Friday or Saturday night, check out the Rodeo and then go to the bars. H3 steakhouse is probably the best eatery in the stockyards, they have good steaks and their fried catfish is awesome.
As mention there are lots of good restaurants in Sundance Square and in the Stockyards. Cattlemans was mentioned for a good steak, while that is true they are not as good as they once were. Riskeys Steak House (next to White Elephant) serves a better steak, IMO. I wholeheartedly concur with White Elephant as a watering hole or a great place to listen to good music (Shaddy - I dont think the Longhorn is open any more...) For GREAT Mexican food, a little hole in the wall called El Asadero, on Main between the Stockyards and Downtown, is where I would go. However, the atmosphere is nowhere near that of Joe T.'s. Most of the staff speaks little to no english and the novellas are always on, so you know its gotta be good.
Bass Hall was also mentioned, try to catch a show there if you can. The venue is unbelieveable. There is also the Kimble Art Museum and the Omni Theater at the Will Rogers complex. Minor League baseball team Ft. Worth Cats play at LaGrave Field just across the Trinity River bridge from the courthouse, again on Main between Downtown and the Stock Yards. There is a Brewery (Rahr's - I think is the name) in Ft. Worth that may offer tours.
I hope you enjoy your trip to my city. Let me know if you have more questions or want more info.