Reusable bags have made it big - really big! I think the Bagster looks like a giant IKEA shopping bag, but it's meant for disposing of construction waste instead of lugging your Swedish home goods back from a shopping trip:
The Bagster is meant to be kept outside of your home when you're constructing/renovating and it's collected (for a fee) when you arrange for it to be picked up. All of its contents are disposed of responsibly by Waste Management. Bagster isn't yet available in all locations, but it is up and running in many metro areas including Chicago.