I need to have my backyard re-graded to improve drainage flow, any recommendations?

No recommendation, but thought I'd suggest posting this on nextdoor as well. Get some recommendations from your neighbors.

Your mileage may vary if you involve neighbors, especially if you're making your problem their problem by changing grade (totally within your rights in Texas, of course). Had a neighbor do this to us and wish we'd have been involved early so we could all cooperate. But your neighbors could just as easily be jerks, hence "your mileage may vary." Hopefully it's a simple problem though and doesn't involve neighbors at all!