Linking a design in the store to multiple products

I am trying to set up a print on demand store, and my goal is to have a design that can be printed on multiple items - tshirts, hoodies, hats etc.

However, so far I have only been able to make each product individually and list it, this creates a lot of clutter because I have 5 different products of the same design. I have tried making additional pages for each type of product, but I still feel like it is too much!

I was wondering if there was a way to have just the design be clicked on, and then either a popup or a separate page can pull up all the options it can be printed on. 

Any help would be appreciated!