There are questions about how this will be enforced.
The Lubbock commissioners – Jason Corley, Terence Kovar and Jordan Rackler – voted for the ordinance, which can only be enforced by private citizens who file lawsuits against people assisting pregnant Texans seeking an abortion. Commissioner Gilbert Flores, and County Judge Curtis Parrish abstained from voting.
...
Much like that ordinance, the travel ban would be enforced through private lawsuits filed against the people who “knowingly transport any individual for the purpose of providing or obtaining an elective abortion, regardless of where the elective abortion will occur.” It would not punish the pregnant woman.
...
Legal scholars have said these so-called abortion travel bans have questionable enforcement mechanisms, making them more like a ceremonial declaration than a legally binding statute. In an opinion following the overturning of Roe v. Wade, Justice Brett Kavanaugh wrote “May a state bar a resident of that state from traveling to another state to obtain an abortion? In my view, the answer is no based on the constitutional right to interstate travel.”
https://www.texastribune.org/2023/10/23/abortion-travel-ban-lubbock-county/
The article is short, but worth reading.