I posted about this same list before, but here is a repeat...
- Texas City Dike (will be crowded now)
- Seawolf Park (especially in the fall flounder run, meaning NOW, when it will be crowded)
- Galveston surf, piers, or jetties
- The bayside end of 8 Mile Rd. (bank and wade fishing)
- If willing to wade, turn off 8 mi rd near the end onto Sportsmen Rd. Go to the end and wade.
- Bolivar jetty
- Bolivar Flats and pocket (wading)
- Rollover Pass
- Fish the pass with the mass of other fisherman, fish pass mouth seaside or bay side, wade the bay side
- Anahuac National Wildlife Refuge (south point in E Galveston Bay) (bank and wade fishing)
- Smith Point (bank and wade fishing)
- Fort Anahuac (bank and wade fishing)
- Baytown Nature Center
- Sylvan Beach Park
- San Jacinto State Park
- Many of the small parks around Baytown and LaPorte
Some of the choices of where to fish just depend on what you want to fish for too. For the surf or jetties I would recommend picking a heavier duty spinning combo. It does not have to be expensive to get started (just rinse it well with fresh water after each use).
This is an on-line excerpt from the book "Wade and kayak fishing on the Upper Coast of Texas", which I would highly recommend that you get. There is some very detailed and good info in this sample.
http://www.texascoastalfishingbooks.com/images/Christmas_Bay_to_Bolivar.pdf