Fear not
My local council gives me a paper bin and a glass bin already. My local Tesco has recycling for plastic and cardboard. Every week or so, I take my plastic and cardboard to the self-same Tesco on a trip I would have made anyway, and dump it. I sort the rubbish in a recyling bin bought from the same store for £15. The process takes me about 10 minutes a week to do.
My normal bin is now half-full when I put it out.
I hate to come over all tree-hugger, but it's quite easy, even for a lazy git like me. If the Council would collect my plastic as well, it would be even easier. Recyling is no big deal. The world is still going to end in a fireball of our own making, but we can recycle while we wait.
And no, I have no idea what Paris has to do with any of this.