Squshy brakes:   Bleeding the system carefully should stop that.
"Carefully" being the operative word...Brake bleeding is intolerant of
sloppy or slipshod work....any lapse at all during the brake bleeding
process can render the whole procedure a waste of time...It can be a
tedious job, relatively simple in concept but one that demands you make no
mistakes along the way...It takes a fraction of a second of inattention to
allow a bit of air to enter the hydraulics...a very very small bubble of
air anywhere in the system will cause the spongy brake pedal feel..

   Another symptom you may be encountering here is warped rotors,
oscillating as the wheel turns, a wobble that pushs the brake pistons way
back into calipers.   So rather than an actual 'soft pedal' from air in the
system, you may be needing to give the brakes a few pumps to move that
brake pad back to where it will actually grip the warped rotor...