Hatching The Eggs
Ask the Master Monster Tamer to hatch your monster eggs. This will cost you some Gold. Eggs will be sent to the farm if you do not hatch them.
Markings On Newly Hatched Monsters
For newly hatched monsters, a number like "+1" is added to the family name in the INFO window. The higher this number, the more powerful the monster is. If you breed two wild monsters, the baby will have a "+1". This value will increase as breeding is repeated.
Make Your Monster Sleep
You can make your monsters go to sleep with SLEEP. Monsters who are sleeping can't be taken on a journey, but this will give you more space for other monsters you collect. Since there is a limit to the number of monsters and eggs you can have at the farm, SLEEP can become quite useful.