This is traditional Greek Easter bread is characterized by hard boiled, scarlet dyed eggs baked right into the braided bread dough. Scarlet is the traditional color, as it represents the blood of Christ. You could modernize this dish and use pastel eggs instead and using lighter colors will make it easier to achieve a good-looking final product as the colors from intensely colored eggs tend to run when baked. If, however, you are set on making traditional, blood red eggs, seek out specialty dyes, available in Greek markets, made for that specific purpose. This should minimize the problem with the color running.