If you're an inexperienced cook purchasing your first set of egg cup is that it holds the egg in place so the top of the shell can be opened carefully. After the top portion is removed, the contents of the boiled egg can be scooped out for consumption, salted and peppered, and the shell can be discarded. Basically, they're a classier alternative to peeling the shell over the kitchen sink. The egg cup makes things a lot less messy and takes a lot less time.
Villeroy and Boch New Wave line.
For the rest of your tableware needs, check out plate sets.