§ 521.054. Notice of Change of Address or Name
(a) This section applies to a person who:
(1) after applying for the license or certificate moves from the address stated in the person’s application for a license or certificate;
(2) moves from the address shown on the license or certificate held by the person; or
(3) changes the person’s name by marriage or otherwise.
(b) A person subject to this section shall notify the department of the change not later than the 30th day after the date on which the change takes effect and apply for a duplicate license or certificate as provided by Section 521.146.
(c) A person changing the person’s address shall notify the department of the old and new addresses and the number of the license or certificate held by the person. A person changing the person’s name shall notify the department of the former and new names and the number of the license or certificate held by the person.
[End of Statute]
Note: I am sometimes asked, "If I change my address, do I have to notify DPS?" The answer is you have 30 days, otherwise if stopped, the officer can issue you a Class C citation. (Of course, if you are polite, which is always a good policy, you might just be issued a warning.)
Also, there are practical reasons why it’s a good idea to keep DPS updated.