I like padded bike shorts. If you don't want the Lycra kind, look for mountain bike shorts that have a Lycra liner with a chamois (pad) sewn into a more normal-looking pair of shorts, or just throw on a pair of regular shorts over your Lycra.
For shirts, since I wear Lycra shorts, I prefer jerseys with three pockets in the back. If you've got shorts that have pockets, though, you can do with just about any shirt - I find wicking fabrics most comfortable, but there are plenty of other opinions out there. I've done plenty of riding in just a cotton T-shirt, but even here in the desert it gets pretty sweaty, and in Fort Worth's humidity would probably end up soaked and unpleasant.
I wear plain old cotton socks with walkable mountain bike shoes. Even if I weren't using clipless pedals, I'd probably still wear this sort of shoe, since I appreciate the stiffness of the sole. If that's not an issue for you, then just about any shoe will work - I'd suggest, though, that you might want to stick to something with a closed toe to avoid bloody toes from the tread on your pedals.