Display custom taxonomy

I have created a custom post type called products. I have also created a custom taxonomy called type.

I have the following categories set up:

Parent Category: Clothing
Sub Category: Jeans;
Sub Category: Shirts etc

Another Parent Category: Homewares
Sub category: furniture
Sub Category: Accessories etc

On one page i would like to display the titles of the parent categories only. When the user clicks on a parent category, it takes them to a page displaying the titles only of the Sub Categories relating to that parent category. Next, when the user clients on the sub category, a list of posts relating to that sub category appears.

I appreciate if anyone has any ideas?