Originally Posted by Mountain Explorer

Take a deep breath. There are many itineraries available between LAX and AUS on Christmas. Unfortunately no direct flights in the morning. But choose ANY option you like, then call Delta and they will give it to you at no extra cost. Christmas is far away, there's no rush. Feel free to take a few days to make your decision if you want.

Edit: If you find a flight for a good price on a different airline, you can also tell Delta to give you a refund and you can book with the other airline