The pedal to the floor thing is for facelift cars only, they have an electric pump and this activates vent mode on it. The pre-facelift have a belt driven pump so no such tricks.
My method was as so:
Raise front of car so bleed screw is highest point, and put a drain tray under the expansion tank.
Filled up with 5l of water, checked for leaks etc.
Went in the car, ignition on, fans on low and temperature setting to maximum.
Removed bleed screw, and added 5l of coolant to the tank slowly. A lot of fluid will end up coming out of the bleed screw, this is normal and why you use water and a drain pan. The idea is the constant pressure of fluid being added to the expansion tank forces any air bubbles round to the bleed screw.
Once I was happy no more air was coming out, and that I'd added the correct amount of coolant, I ran the engine at 2000rpm for a few minutes to warm it up (can be done with diagnostic software)
Took it for a drive once happy the temp was stable, then let it all cool down, rechecked the levels, all good.
This was 3 months ago and it's all been perfect since.