When you are logged in world you can find any properties you own by clicking the Properties button at the top of the screen.
its between Landmarks and explore. Also if you click the down arrow on the circle top right of the screen you will see MY ZABY on the list. click that and it will take you there

of course you have to "purchase" one first, even if they are free. Go to your home page of your profile, click the Property Tab and then the Add property tab. All the choices with prices will come up.