Crab & Ghost Shrimp regulations from TPWD:
Crab & Ghost Shrimp RegulationsWe've had good luck with chicken parts off jetties using traps. Wife tried to get some with a trap and a "wafer" (buy them at bait shops) in a canal last year and it didn't work so well.
ETA: As for a "spot", a jetty with an adjacent beach, like the end of Mustang Island State Park between Port Aransas and Corpus, would probably satisfy all. You can fish off the jetty, kid can catch crabs off jetty, wife can hang out on the beach near the jetty. But it can get crowded in places like that.
Mustang Island State ParkGet to the North side using Access Road 2
Edited again: Sorry, just saw you mentioned La Porte. But there are places like this along the beach in Galveston.