I assume you're asking about all-seasons since it gets too cold where you are for summer tires all year? I'm also assuming you're after performance all-seasons. I'd recommend doing a search as there are lots of threads on tire choices already.
You'll likely get a lot of recommendations for both the Continental DWS06 and Michelin Pilot Sport AS3+ tires on here. For good reason because they're both great performance all-season options.
From my experience, the Continentals have the edge in wet/light snow traction and the Michelins are better in the dry and have better steering feel. The Michelins are usually more expensive as well.
I kept my Austins and got a set of DWS06s for the light winters we have in the DC area and have summers for the warmer months. Not entirely necessary but having summers is nice.
Cheap but good summer tire : Firestone Indy 500 $100 (225/40 R18)
Cheap but good all season : Kumho Ecsta 4x II $115 (225/40 R18)
Honestly, you could probably go with a summer tire in Central Texas and be fine. I choose all season for longevity since I drive over 35k a year.
Go read some Tire Rack test results before deciding. I choose the Kumho's because they were just .01g less than AS3 in lateral grip and very close on dry and wet track times and braking for about 1/3 less price. Also previously had Kumho and Michelin on a previous car and for my driving, felt there was no difference between the 2.