I pull all monofilament and put it in monofilament recycling boxes (available at many/most boat ramp).
For plastics, I just throw them in the trash. If they have attached hooks, I wrap them in paper and tape them to prevent accidental puncture wounds-for myself or anyone else handing the trash.
Even with the biodegradable plastics, I'd rather they degrade in a landfill versus a body of water.