I just did this at my moms house. But we called the people that do the weekly trash service. For 20 bucks they will drop off a large dumpster and leave it there for a week. And then they will pick it up for 40 dollars.
And this is large dumpster like you find behind grocery stores.
When we clean out the garage, my girlfriend and I rent a uhaul truck to take everything to the dump/goodwill/storage.
If I could use this service to just have somebody show up with a truck and pick up the things we want to throw away, it would be really helpful.