Others have already commented about the weather in Houston. Back in 1998 to 2002 I had a job where I went to Houston for work 4-5 times a year. There really wasn't a nice time of year to go. Summers are warm and humid. Winters are cold and rainy, with bone chilling cold. There are a few weeks in spring and fall that are somewhat decent.
After moving to Texas, I still remember when I drove to Houston to get my visa for China. Early on a July morning, I left home and drove the 2-3 hours straight to the Chinese consulate in Houston, parked and walked over. When I got out of the car that humidity hit me like a punch in the face.

It does get warm in the Austin area, and can get humid. But Houston is a whole other level. Heck, even the Dallas area usually gets more weather. The Hill Country west of Austin breaks up many of the storms.