You might find life easier with a Gunson Easybleed pressure bleeder. Some modern systems with servos can only be bled with a pressure bleeder. Also it contains half a good half litre of fluid so no danger of the master cylinder emptying.
I'd agree. I use a Sealey pressure bleeder which has an integral pump, and it makes the whole job amazingly easy and fuss free.
Funny old thing I have one of those.
You need to still cycle the pedal to ensure it runs through the valve at the pedal end.
To save faffing I put my pela oil extractor on the nipple end the vacuum ensures no back travel.