Thanks for these great replies, gentlemen.
1) Am I right in thinking that, if I don't know how much sharpening I need to do, I should start with the least aggressive method (maybe green compound on a strop) and move progressively toward the most aggressive (in my case, Course Diamond Stone), testing along the way for sharpness ?
2) Some replies above have recommended using water or oil on the diamond stone. Does anyone use a drop or two of dish soap with water?
With kitchen knives like the type mentioned, my own preference for setting a new edge is with an India stone. Depending on the edge thickness or how much reprofiling is needed, I might start with the coarse side of my India (IB8 dual-grit C/F stone). But, with edges that're already ground pretty thin, sometimes I'll just start on the fine side of the India. I really LIKE the finish produced by that side of the India stone, so I use it when I can. I DO use the India with oil, as was intended for this stone.
Once the edge geometry is set, I've liked using a smooth (polished) kitchen steel for maintenance, if all it really needs is realignment of a slightly rolled edge. If a little more is needed to restore a worn edge, I've liked using a medium Spyderco ceramic (on the Sharpmaker), in just a very few, very light passes on the rod corners, to restore and even enhance the edge after the Fine India.
I minimize stropping with any compound, for the most part. Most of the stropping I'll do is immediately after setting the edge on the Fine India. I use just a clean piece of paper laid over the oiled stone for that. That's enough to clean up the loosely-attached burrs and/or align the edge straight, without diminishing the toothy bite I like from the Fine India.
So, per the question posted, when noticing the edge needs some tuning up, I'll generally go to the polished kitchen steel first. I test the edge by slicing paper. If the polished steel doesn't quite get it restored to my likeness, I'll go to the medium Spyderco ceramic. If I stay ahead of it in this manner, I rarely have to go back to the India stone to keep these knives tuned up. For a while, I relied mainly on the steeling of the edge to maintain it. But, after repeated realignments on the polished steel, the edge will become weak & unstable from all that bending back/forth. I used to reset it on the Fine India, when that happens. But more & more lately, I've really started to like tuning these up on the medium Spyderco instead, if/when the steeling isn't quite getting it done.
With your diamond hones, I'd very likely just go straight to the EF with just a very, very light touch in a minimal number of strokes. Too much stropping on these steel types with green compound tends to polish the toothy bite out of an edge pretty soon. That's why my preference is usually to avoid stropping with compound, for the most part.