Nah youve pretty much got it PB. I drift like they do in Initial D - using the inertia of the car to get sideways. I dont think Ive ever used the handbrake - too much speed scrubbed off and it oftens leads to spins. Instead, I often combine lifting off the throttle or braking entering the corner, depending on the corner, with sharp turning to get the car sideways, and then its all about countersteering and throttle control from there. Its much easier to countersteer with the controller - with a wheel, Im not sure what it is but its much easier with a wheel to apply too much countersteer and snap back the other way and spin out.
And about the FF drifting, you're right, I was in the middle of a race (read about it in my Apricot Hill enduro report) and so wasn't attempting to drift intentionally, I was more just pushing the car hard and the rear was slewing out on some corners - as soon as the throttle was engaged it snapped back straight again. I guess its possible to drift an FF - just carry lots of speed into a corner, ie enough to carry you round it sideways without having to prod the throttle, but then again is that just powersliding?
EDIT: Im wrong sorry, my drift technique is a mixture of brake and kansei drifting, inertia is something slightly different. and like PB I dont pretend to be the authority on drifting, again im just using what ive read on Wikipedia, what ive seen in Initial D and what ive done on GT2/3/4.