Wow - Grump stirring the pot again, leading to SEVEN pages of posts in 24 hours! A new record, Brian? 
I don't drill on a pillar drill because mine is cheap and nasty, with drill runout measured in centimetres ... 
I don't use a drawbar because my Record CL3 doesn't have a hole bored through the tailstock (1) and because getting an MT1 arbour threaded for drawbars is only slightly less difficult than getting Grump to not pick a fight (2).

I hold the chuck as I drill and (most especially) when withdrawing it from the blank. Learned that the hard way a year or so back when I turned an inlay blank to matchwood by having the chuck come adrift from the tailstock as I withdrew the bit. Never lost a finger, smashed a toe, broke a tooth, impaled myself on a flying drill bit or anything more than a slight abrasion on my palm from the spinning chuck. Not sure how I'd write that up in a tutorial though?
