My new battery charger, quick charge up to 100 amps, slow charging around 2 amps. I had extra parts so I Incorporated a 5 volt charger in the PS so I can use at my bench when not using for a car battery. The values in the drawing's are not exactly the same as real world, but you get the idea of what to do.
I'm using 2n3055 for the power control capable of 15 amps each @ 10 = 150 amp.
I have a separate power supply for the 12 control voltage and the same for the 5 volt control.
No worries if the main transformer drawing down in voltage