Showing child categories as directories on Wordpress

I'm trying to build a portfolio site heavy with sub-sections. I'm planning to use categories to represent these sub-sections with a post being the bottom layer.

Rather than displaying posts, I wonder if there's a way the category can just show it's child categories, and then when you get to the final child category it shows the posts within.

Basically trying to re-create this user journey - http://ift.tt/1DYZuXq

If you click on "Locations" and then flow through, you'll see what I mean.

Thanks!