47-59 brake question

[nvrdone]

on my '49 3100 im in the process of completely rebuilding the brake system:
ie new master, lines & hoses, wheel cylinders, springs, shoes & drums.
Previously I've had a problem with the back brakes locking up on hard stops & causing a skid.
In doing some research ive come to understand that smaller bore wheel cylinders means more pressure at the shoes, larger bore means less pressure.
Right now ive got 1 1/8 " cylinders in the front & 1" in the rear. If my understanding is correct, that means that im getting more pressure to the rear brakes.
So my question is first, is my understanding correct and second, for those if you who are using front & rear drums, what bore wheel cylinders are you using and third, can you provide me a source and part number?
thanks for all the help.