If you can get all the PP in one place and all the PE in another and all the PET somewhere else, you have a useful product. We have two dumpsters downstairs, one is for "recycling". A lot of what goes in there is cardboard, the rest if glass and plastic and some cans. It's an unholy mess really. People add "styrofoam" packing material to it, not much by weight but a lot by volume. Polystyrene is readily "recycled" IFF you can get it separated into a clean stream. Just as monomers are combined to make polymer, polymer can be "uncombined" to make monomer, it's not hard to do. Styrene however is really cheap material, so nobody really cares to recover it from polystyrene. The PET is a different kind of polymer entirely, very useful for plastic bottles. The main plastic by far is polyethylene (PE) used for "jugs" where containing CO2 is not an issue, milk jugs for example. Food plastic wrap is something very different though.
When we were putting together food boxes to give out, it was astonishing to me how much waste we generated. The various food items came expensively packaged, especially the apples and the yogurt. I spent a good bit of my time breaking down all the cardboard boxes. Restaurants deal with this constantly (these were restaurant food items available because they had all closed).
