Crab Line
A baited line with no hook attached.
No restrictions.
We run a 1200 foot line and have been checked by the game wardens . The only thing the said is we could not use plastic floats. Pots are called traps on the Gulf Coast.
Umbrella Net
A non-metallic mesh net that is suspended horizontally in the water by multiple lines attached to a rigid frame.
Legal only for taking NONGAME fish and other aquatic animal life including crabs, crayfish, and shrimp.May not have within the frame an area that exceeds 16 square feet.
Above is the regulations for ring nets. No limit on the number of nets you can run.
Folding Panel Traps
Only crabs may be taken.Overall surface area (including panels) may not exceed 16 square feet.
This is the only regulations I found for traps. I would assume you can use open traps as long as they don't exceed 16 square feet. Dont take my word on this one call Parks and Wildlife to verify.
https://tpwd.texas.gov/regulations/outdoor-annual/fishing/general-rules-regulations/legal-devices-for-fish