I assume you're aware of the county recycling trailers, at various locations in SoWal, for glass, cans, plastic, and paper. Also, the green bins at Publix take styrofoam, plastic bags, and grocery bags. You can also get curbside pickup through Blue Binz. I use the trailer behind the Watercolor Publix and their green bins.
It's a shame we don't get curbside pickup through the county, though.