Howdy, Jerry...
Yes, certain figs do well in containers and will produce. Brown Turkey tends to get very large (huge actually) but you can keep it trimmed to maintain it to a decent size. Kadota fig is better suited to container growing and will produce a better harvest in a container than Brown Turkey will. Regardless of the type I'd recommend at least a 15 gallon size pot/container, a well-drained soil mix, and a good time-released fertilizer. You can prune your fig into tree or bush form OR you could even espalier it. And in Texas (and other places where the temps are extremely hot you may want to shade the sides of the container so the soil doesn't overheat.
As for your grapes, I wonder if you'd do better running wire from your eaves down to your deck railing. Grapevines get pretty heavy and I'm not sure regular lattice would hold up long for good support, especially during times of high winds once the foliage is fully out.
Best,
Shoe
