Thanks to a update to the Amazon.co.uk listing, the first photos are now available for the upcoming Amiibo Family Case from Hori. The product is manufactured by Hori and is officially licensed by Nintendo. Check out the pictures of the travel case below this paragraph. 
As you can see, the Hori Amiibo Family Case allows you to store and transport up to eight figures. Each of the Amiibos has their own separate compartment so that they won’t bump into each other when you move them around. You can even remove the dividers to customize the storage options to your liking. The product uses a cushioned inner lining to protect your figurines in addition to a zip fastener for easy access and a handle to carry the case.
The Amiibo Family Case releases on the 17th of April. It is unknown when the same item will be launching in the United States. With that said, Hori has already released the Amiibo Trio Case in North America. You can check that product out with this link on Amazon.
Nintendo is set to launch another group of Amiibos in the near future with the first Super Mario line and the fourth Super Smash Bros wave. You can take a look at most of the current and future releases on Amazon here.