D. kingianum should do really well in SF unless you live in one of the really cold and foggy regions on the west side of the peninsula, or Pacifica.

I think the worst damage to your plant was caused by spider mites. These are most active during warm, dry weather. They are well-established in gardens in many urban areas and always a threat. It is likely there are still some on your plant.

D. kingianum should start growing soon. Keep it mostly dry until it begins growing. I would divide and repot when the new growths emerge and begin growing roots. When you chop it up, try to keep pieces with at least 3-4 green pseudobulbs.

I would chop it up and divide on a warm, sunny day if possible. Personally, after chopping it up and throwing away the dead parts, I would completely submerge the good pieces in soapy water, 1 tablespoon of dish soap per gallon of water / 30ml soap per 4 liters. I would swish the plant and let it soak for 2-3 hours. This will kill all the spider mites and mealy bugs on the plant, and their eggs as well. Then I would repot.

new brown spots on leaves
 

Hi again, all, and thank you for all the great advice.
I have kept this big plant outside the last couple of weeks and have kept it well-watered. I've been spraying with soapy water every few days to take care of any spider mites or mealy bugs. But now some of the leaves have brown spots--see photos. Any new advice? I was waiting to repot it but now I'm thinking maybe I should repot right away? thank you in advance.

That is likely damage from spider mites and mealy bugs. They kill some of the cells, and that part of the leaf turns brown or sometimes black. The spots won't go away, but if you successfully get rid of the bugs, new leaves won't have them.