all that is correct .
if you master is old you don't want to normally push the pedal more that normal sometimes you can mess it up
my two person system is
3 sets of 3 for each wheel starting from furthest from the master.
also be aware of the gravity bleed;
simply fill the master and crack open the bleeder and let it run for a little while .with the cap off.
most systems will gravity bleed this will also tell you that ya dont have a swelled brake hose or a smashed or kinked pipe
PAY ATTENTION not to let you master run dry either way you choose
I have the might vac too its the cats meow reclaims the old fluid and dosen't make a mess especially if you have painted stuff around worth the investment
P S brake fluid wears out (get dirty) too so if you periodically bleed your system every year or two it will prolong the system