Texas law is very harsh on people convicted of DWI and currently requires the conviction to stay on your record forever. It is possible that you received a deferred adjudication back then, although it has not been allowed in recent years. If so, you should know that the legislature is currently considering allowing "deferred" again, which might allow records to be hidden after a number of years. This could change your situation, so you want to track the legislation and plead with your local state legislator and Senator to add provisions for deferred adjudication that will allow hiding your conviction after a number of yeas. The cops see the conviction when they stop your car and are much more likely to arrest you for DWI because it is there. Even if the law changes to allow you to hide the conviction from public view, this will stay the same, because only an expungement hides an arrest and can not be granted if there is a conviction, which is your situation.