While this is up to the Driver, there are other options available. These are on-demand apps. As I move alot for grad school (and work...I work in academia), I've had to use these many times.
I would be careful using Uber or Lyft to move your stuff......it's a legal minefield, drivers are not contracted to move more than the passenger, so you may be up the creek in that regard.
Unless agreed beforehand, no Uber driver that I know of is going to fit a couch, chair, or table in their car. Uber drivers usually don't appreciate your large items. It's very rare to find an Uber or Lyft driver willing to help move your stuff....let alone junk removal.
Any thoughts welcome.