Don't want to rain on your parade, and I think all hogs need killed because they are so destructive but....you need a hunting license to shoot hogs in Texas. There is no closed season and no limit but if you keep any part of the hog, or are doing it as a sport, by Texas game laws you are hunting. If the hogs are destroying land or crops then the hogs can be shot without a license, but mostly that exception is limited to the landowner. Call texas parks and wildlife and ask. Would not want you to get in trouble.
Strive to live up to the opinion that your dog has of you.