I recently used Seattle Rubbish Removal to remove a ‘junk pile’ from our place.
The came when they said they would, charged slightly less than they quoted us over the phone (as we had less stuff than they thought based on our conversation), they were courteous and careful taking things out of the house. The fact that they said they donated / recycled as much as they could appealed to us.
They were more expensive than other services we looked into but we were very happy with their service.
Good Luck with your search.