There is only one Nursery in the facility in the game which allows you to retain offspring. Breeder is a specialization that the player can choose at the start of the game which automatically unlocks the nursery, increases the sell price for slaves born within the mansion, etc. It's an option alongside the Mage/Alchemist/etc. There aren't any issues with it as far as I'm aware.
However, if you're looking to breed slaves automatically or similar to a job, unlocking the farm will allow you to choose a lot of options on your slave when they are submitted. You can set them up with a stud there to breed daily.