I would rather use Poorboys creme Z i find it alot easier to work with, its very similar to BH with equaling results ime. You could learn machine polishing action by machining your chosen glaze into the paint. Correct pad for glazing and lowest speed either DA or rotary would be ok , i,d say the DA would be better for this but it wont matter too much.
Lime prime would also be a good product to use it has a light cut to it ready for waxing afterwards .

edit- not to say blackhole isnt good , i love it but i find creme z easier for me.