You need to bleed the lines closest to the master cylinder first(front calipers), then the rear.
If you do the opposite you may siphon air from the short un-bled lines where the lines connect at tees, hill holder, etc.
Bleed M/C with lines just loosened a little until fluid pushes out, then tighten them up. Put an oil pan underneath to catch the mess. Hose it down with brake cleaner afterward.
Bleed order is Left front, then right rear. Right front, then left rear. Get a one man bleeder kit with a check valve in it. Put the valve end in a small plastic bottle with a little brake fluid in it to stop air from going back up the bleeder hose. Pump slowly with full strokes of the pedal 6 to 8 times at each wheel then check the reservoir after closing the bleeder.
Not trying to discount what you know of bleeding brakes, just repeating what has worked for me since the 70's when working alone. Used to be a NIASE dealer mechanic.
Good luck!