Unused vinyl (weed waste) and carrier
paper.
What discarding solutions are better than the dumpster?
That would depend very much on just what you mean by 'better'.
If 'better' means making you feel warm and fuzzy by all means foist off your garbage on someone else by giving it to various other organizations. You can refer to it as 'donating' for an even higher score on the self-righteous smugness scale. That way your garbage becomes their garbage and they get to deal with it while you get to bask in the illusion that you have actually done something.
If 'better' means disposing of your garbage in such a way as to have some sort of positive measurable effect on the external reality, there is no such method. There is nothing you can do that will have any effect on anything. Nothing, nada, zip, zero.
If 'better' means a minimalist and therefore optimum method of dealing with your garbage then toss it in the dumpster. Then not only does your refuse end up in exactly the same place it would have had you done anything else with it it does so in the simplest and most direct manner possible, you also support the economy by providing employment for the trash wranglers.
If 'better' means stroking your rugged individualism, them burn it. Don't worry about the delicate state of the external reality, you're not capable of lighting a fire that will have any effect on it. Whatsoever.