Pour about 1/4 cup of white glue into a bowl.
Add water to the same bowl until the ratio of white glue to water is about 3:2
Stir with until thoroughly mixed (the paintbrush you'll be using anyway is perfect for this)
Use scissors to cut small strips of newspaper and add them to glue mixture
Completely submerge the newspaper strips in the glue/water mixture until it's completely soaked up. The newspaper strips should be quite soggy.
Completely cover the plastic eggs with the soggy newspaper strips. Continue layering until there is no plastic visible and the egg is layered evenly all over.
Let the eggs dry for a day or two. They will be as hard as a rock once the drying process is complete.
Using a utility knife, carefully cut the mid section of each egg and remove the egg mache from the plastic Easter eggs.
Cut a long strip of newspaper and glue to the seam to seal the paper mache Easter Easter eggs together. Smooth out the sides of the new strip, and let it dry for 5 to 6 hours.
Paint the eggs with your choice of acrylic paints. A double coat with dry time in between will work best unless you're going for a pastel look with the newsprint showing through somewhat.
Add designs as desired