Group Multiple Products From Different POD

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I am new to complex options in Shopify and need help being pointed in the right direction.

I am wanting to bundle several individual products from different POD vendors into one product offering, and don't know how to do this. 

Back Story:

I have a shop that sells t-shirts, mugs, tumblers, posters, etc. Each item is available individually, and if you want several items, you just add them to the cart one by one. We are connected to several POD vendors. 

Now, I want to offer as one item, a group of these individual items, for example a t-shirt and poster (vendor 1), a vacuum seal tumbler (vendor 2) and a keychain (vendor 3) as one product that when added to cart, is processed as one transaction. I still want to sell each item individually, but also as a "special deal" in a bundle.

Is there an app for this, or special settings, or a set of instructions?  Does this question make sense?

Any Help is Greatly Appreciated.

- Ryan