Anyone can carry eggs, of course, they may all be bad. You can only find an ordinary courier company with higher stability, and you can throw it away if it is not too violent, such as Tong Yuan, and clearly indicate and inform that the goods are eggs. However, if your packaging is not good, these courier companies will not dare to accept this kind of goods. Generally, they are real eggs, which are opened on special shelves to prevent the results of eggs.
As for your hand, it seems that this thing is not so fragile. Wrap it in a sponge and put it in a strong packing box.