How much "shake" at idle is acceptable?

I have a potential buyer coming in to see the car in a couple weeks. I want it running right before he test drives it. Right now, it often shakes enough to bounce the passenger side headers off the torsion bar.
In your first video, how cold was the engine when you started it? Does it go away or get better as it warms up? I see a electric pump but it looks like a carb. I noticed in the second video you started it cold without a choke (or so it seems)