...reading a bit further:
Sec. 46.02. UNLAWFUL CARRYING WEAPONS. (a) A person commits an offense if the person intentionally, knowingly, or recklessly carries on or about his or her person a handgun, illegal knife, or club if the person is not:
(1) on the person's own premises or premises under the person's control; or
(2) inside of or directly en route to a motor vehicle that is owned by the person or under the person's control.
...the OP would be fine in his home, on his property, at other "premises under his control", or in his vehicle or one he controls, or on the way to or from same...
...and if you had to use it for defense at any of those places...the letter of the law would protect you...
...I've heard of these arrests for a bat, club, or long knife in Tx within one's vehicle...but never known of one for a fact...nor seen any in written report...do they really happen??? what's the outcome???
...being ex-LEO, I am very pro-LEO...but also very pro-Citizen's Rights within the law...