You can register for work in Texas at the Texas Workforce Commission website. This website is one of the largest job resources in Texas, and tips on how to find a job, prepare a resume and go through a job interview are also available.
If you are a Texas resident on unemployment, you must register and search for work in order to continue to receive unemployment benefits. After you've registered, you must also document your search efforts, and apply for and accept any suitable full-time work that is offered to you based on your qualifications.
Being able to work means that you are mentally and physically able to perform the work you are seeking. You must have the mental and physical requirements necessary to perform the full-time employment for which you are qualified. You must have child care arrangements that allow you to accept employment, have adequate transportation, and be available for job interviews. You must be willing to work all the days and hours that are required for the type of employment you're seeking, and be wiling to accept the usual rate of pay based on the type of work you are seeking and the prior experience you have.