Just don't step on the algae, step on clean rock or where waves expose the grit of the rock. That said, traction certainly helps.
Bring some bandaids and anti bacterial ointment for the kids, there are barnacles and the rock edges and invariably anyone can stumble and get a little cut or scrape.
I personally keep it simple, go as light as you can with gear. I tend to take a back pack, stringer, rods, ect. and forego the heavier items.