When you're in Texas, don't forget that almost everything is Texas-sized, sharing is almost a must! One of my favourite restaurants in the DFW area is La Hacienda Ranch in Grapevine, "near" DFW airport (yeah right, nothing in DFW is near each other because it's so big!)
I used to spend my summers in Texas, so I have been to quite some restaurants in Amarillo, DFW and Austin (love the Hula Hut in the Austin area, but it's not a typical Texan restaurant, lol!)
My mom and I share many times. If we take dessert, we always share one. We almost never go to any fancy restaurants, I like chain restaurants like Olive Garden and the like. I know I know, many US people don't like those, but it makes it easier for us to find a place to eat: we know what we can expect!
When I stayed with my friends in Texas, I had some of the best food in places that looked really weird, I would never enter those places when I am just by myself, you have to "know" them; someone needs to tell you you're good. So that's why we mostly stick with chain restaurants (except in California, there we went to a variety of unique restaurants)