I make sure my fabrics are not coloring the water before I cut them.
Basically, the Vicky Welsh method.
I have also learned that "Just a Quick Rinse/Wash" was not adequate for making sure the fabric was not bleeding or had excess dye.
For me, it's just easier to not take a chance on the dyes - I don't feel like dealing with situations like the original poster has mentioned. (Been there, done that. I was not entertained!)