Most couches need at least two people, and three if it's a large sectional or has to go around tight turns. A single person can move a loveseat short distances, but anything full-size risks injury or wall damage solo.
For nearby moves, an SUV with folded seats, a pickup truck, or even a large van rental can work for smaller furniture. Large items like sofas or bed frames usually still need a proper moving truck or a crew with the right vehicle.
Light to moderately loaded drawers are usually fine to leave filled if you secure them shut with tape or plastic wrap first. Very heavy drawers, like ones packed with books, should be emptied to avoid straining the frame or the movers.
Carry it flat if you have a wide enough doorway and stairwell, or wrap it in a mattress bag and stand it on edge for tight turns. Two people can usually move a queen or king mattress in a few minutes once it's bagged.
Rates vary by crew size and hours needed, but short-notice or same-day moves sometimes carry a premium since crews have to rearrange schedules. Getting a quote directly is the fastest way to know what a specific timeline and furniture list will run.