Just get a Bagster from amazon or the homedepot and have them pick it up. http://www.thebagster.com/
For me in DC, it costs about $160 or so per bag. They hold a far amount of material and it’s worth avoiding the inconvenience of going to the dump/paperwork.
You could also call Turbohaul or the like, but it’s cheaper/more convenient to go with the bagster.