The short answer is no, Texas no longer requires registration of tanning business or any formal certification.

Texas does say you should still follow the other rules found in their regulations https://statutes.capitol.texas.gov/Docs/HS/htm/HS.145.htm

My suggestion is that you will want to follow industry "best practices" and observe the requirement of FDA regulations especially eye protection and using only legal equipment.

If you don't have a solid background in indoor tanning operations I would definitely recommend a training course such as ours for yourself and your lead manager. (Sorry for the blatant commercial but I really believe the information will help you do a better job for your tanning members.)

Good luck with your new venture