When my little ones were in diapers, I had the snowiest cloth diapers.
I kept them in a diaper container that contained water. (It was a trash can with a cover.) Of course I rinsed certain ones in the toilet first.
I ran them through one wash cycle with no soap. Then I ran them again with soap and Clorox. I had not discovered vinegar back then, but now that I'm using vinegar as a final rinse, I would give them one more rinse with 1/4 c. white vinegar added.
A friend turned me on to blueing. Remember bluing? It may be hard to find. A drop of blue in the rinse makes the whites look whiter. I found it in a little blue bottle in the laundry soap section.