Take forecasts this far out with a grain of salt.

From weatherunderground.com:

Houston

Saturday
Clear with a chance of rain. High of 86F. Winds from the North at 10 to 15 mph. Chance of rain 30%.

Saturday Night
Clear. Low of 52F. Winds from the North at 5 to 10 mph.

La Grange

Saturday
Clear. High of 82F. Winds from the North at 10 to 15 mph.

Saturday Night
Clear. Low of 59F. Winds from the North at 5 to 10 mph.

Austin

Sunday
Clear. High of 81F. Winds less than 5 mph.
Sunday Night
Clear. Low of 57F. Winds from the SSW at 5 to 10 mph