If you currently have a license to carry from a state other than Texas, you may be able to keep the state’s license from your previous address (check state’s laws to make sure). If you are able to keep the license, it will now most likely be considered a non-resident license.
Texas doesn’t allow other state licenses to be “transferred” to Texas. You must apply for a Texas LTC, which includes the requirement to take a class with a Texas Qualified LTC Instructor.