All you could ever want to know is here:
Sanitation Information search for BULK DISPOSAL in the FAQ. Bottom line is you make an appointment and they will pick it up. It will depend on your county but the info is all there.
This is for SUMTER:
Does the fee include disposal of bulk items?
Yes. Please contact the service provider directly to schedule pick-up of bulk items.
Their office is open Monday – Friday 8:00 am – 5:00 pm (excluding holidays) at 352-
748-0109