After visiting the Texas City Museum, we always drive over a few blocks to find shells on the beach. We pay the $5 cash (because we are not Texas City residents) and drive out past fishermen, boaters and families. The long slow road has water on both sides and areas with rocks, with piers and with beach.
What we've learned on our past visits is to not park to close to the water... and to wear shoes.
The Texas City Dike has drive-on beaches, with packed sand so any vehicle can do it. Last year we backed up to the water... and thought we were a good distance away... until a giant ship pushed the water up way past our car! Now we decide where to park and add 15 feet to it!
Also, the ships seem to push up a lot of jellyfish, so when we are searching for shells, we've learned to wear shoes!
Other families do splash in the water, but we are scared of the jellyfish and just spend our time looking for treasure!
There is a lot of room to park (or to park on the beach) and there are picnic tables to use all along the dike. Check out the pictures!