Well I am assuming what you mean by Quill run out is slop in the spindle bearings? Anyway you can remove the spanner nuts with a large flat head screw driver and a dead blow hammer, or a hard hammer if you do not care about the screwdriver.
When I first got my machine I dropped the spindle out and cleaned all of the bearings, re-paced, and put it back together. As another note, I had a race on the trust bearing fail and I replaced it with a higher quality one. Now it runs better than ever.