First of all, it is important to realize Texas is a huge state. In fact, several regions of Texas are practically states within the state. Of these, the Gulf Coast region is really the only area which is severely impacted by hurricanes and tropical storms. So, if you plan to visit another region - like, say, the Hill Country or Piney Woods - you probably won't need to alter your plans at all.
If your vacation plans do take you to the Gulf Coast region, you will need to take a few precautions. As your trip draws near, be sure to monitor the National Hurricane Center website. It will let you know if there is a storm brewing in either the Gulf of Mexico or anywhere in the Atlantic basin. If the storm is far out in the Atlantic Ocean as your trip begins, you can probably make it through your vacation in Texas without noticing so much as a drop of rain to signal the presence of the storm. If the storm is already in the Gulf of Mexico, it is important to take note of the storms projected path. A storm predicted to hit the northern or eastern Gulf Coast rarely threatens Texas - or even effects its weather.
On the other hand, if a storm is projected to hit Texas or the northern Mexican coast, you should take note. If it is on a path toward South Texas or northern Mexico, a trip to the upper or middle Texas coast is probably safe. Likewise, if it is headed to the upper Texas or Louisiana coast, a trip to Corpus Christi or South Padre Island will probably be unaffected.
If a storm is projected to coincide with the time of your trip - and hit the area you have reservations - you can either switch your vacation reservations to a later date or to another area of the Texas coast. As a last resort, instead of abandoning a trip to Texas altogether, try making an alternate plan to visit the Hill Country, West Texas, the Piney Woods or any other inland region of Texas. After all, there is a lot to see in the Lone Star State and most of it is never affected by tropical weather.