This is the template for one of the cups. The design is printed on an insert. So let's say I want a solid...plaid design. Most of my designs are EPS files.

I know there's a simple solution and I'm probably making this way more complicated than it is but here's my question...how do I curve a design to fit a template? I am trying to create templates to be printed and put on beverage tumblers (on inserts) and the design file has to curve. Help. TIA.