IMHO there is no-one style of portaging that fits every type of paddler. Gear and fitness levels play a major role.

I'd compare it to making an "omelette". Plenty of types, all good for the needs of the person making it.
But there are a few "don'ts" or at least " better think about's" that many would agree with.

Rather than concentrate on what to do, maybe we should think about what NOT too do?

These are in the order I feel are most important, but I'm a solo paddler so others might have different ones.

#1. Don't block the landing/put-in area.

#2. Keep your gear organized in one area, not strewn all over.

#3. Avoid hand carrying if you can over any portage other than a short pull-over/walk type.

#4. Don't overestimate the load you can carry. No sense being exhausted 1/2 way and taking a longer break than if you just hustled along.
I like to make it across without a break IF possible and rest on the return. Can't make it without a break, I leapfrog my gear.

#5. Find a way to secure gear to canoe that your comfortable with and stick with it.
Efficiency/speed comes with repetition. Unless your method is a complete dud, you have plenty of time in camp or after the trip to figure out something better.
Guy's that own their own canoes can set them up in more efficient ways, renters have limitations.

#6. Never and I mean NEVER leave your canoe unsecured while your not there.
      Bad enough if your in a group and you have a "chase" vehicle, but a potential trip ruined or maybe even a life taker under the right circumstances if solo or single tandem.

Time of year plays apart as well. My preferred time is May. Often the portages have blow downs that you might have to saw a path thru. I take my heaviest pack and my day pack which I clip with a large carabineer to my left pack strap D -ring. Unlike a dedicated front portage pack that can obscure your vision, my set-up allows me to hold it with left hand in front when the walk is flat and easy and off to side while descending/climbing tricky areas. In right had I have my double paddle which acts like a hiking stick when the footing is bad.

I don't take my canoe and a pack first because if I don't see signs that others have been thru, I assume that I might have to do some saw work.

For me, it's easier to drop day pack, which holds my saw and in most cases leave big pack on, rather than drop/lift canoe.
If I'm pretty sure trail is clear, I'll take lightest pack/canoe.
I try to not get so rigid that I can't adapt to conditions/energy level.

:thumbup kypaddler, I beleive in Karma as well.
I'm even MORE afraid of knife twirling good ole boys. ;D ;D