Don't! I hate it when people go vegetarian and decide that they've got to eat more dairy and eggs. No, no and NO! They're not good for you (eggs are really high cholesterol.) You need to replace meat and fish with beans, nuts, lentils, legumes, tofu etc NOT dairy and eggs! Keep your dairy and egg intake the same as when you eat meat (even reduce it) and up your intake of beans, nuts etc and vegetables.
Vitamin B12 is bit of a problem on veggie diets but if you eat a reasonable amount of dairy and egg products (not the completely ridiculous and unhealthy amount you're contemplating) you should get enough. Most breakfast cereals are fortified with it as well.