How much is a bunch?
For small remodels, I've gotten away with using the regular trash service, a bit at a time over a few weeks.
For a pickup size load, it's probably cheapest to haul it yourself to the dump.
For a really large amount, the bagster, or a real dumpster might be called for.
If you don't want to haul it yourself, check out Craigslist or a local bulletin board for hauling services. They can be fairly reasonable - it's a competitive business which has what the economists would call a "low barrier to entry".