Left hand thread lug nuts on driver side

Am I correct that the reason you suggest a C clamp and not a hydraulic press for this job is because it is difficult to push out the studs in the rear using a press unless you take apart the differential, and I can do it with a C clamp just by taking off the wheel?

Yes...and not everyone has access to a hydraulic press

Hiem71x is spot on. Many times a punch will work, I prefer to not swing a hammer from an awkward position. You can use the clamp method with full length studs aw well: leave the nut on and un-screw it out to flush with the end of the stud, as this will give you more stability