This may not be the yucca you have, but nearly all species of that plant have similar instructions for transplanting of the pups. You can't hurt them, in fact you might have trouble killing them.
While you might be under the impression you need to live in a tropical climate to grow a yucca plant, they actually make for excellent indoor companions. A genus of more than 40 perennial plants, ...
Keep your yuccas thriving for years ...