In the past, I have used inspiration from pins I have from here and here to make Snowman and Reindeer cups:
I followed these instructions and downloaded a blank jpeg file of the logo and added the white text on top of the green. Disclaimer: I used the logo for personal/parody use, not to make money or to be confused with the actual Starbucks brand. I downloaded the Santana Black font to get a close match to the old Starbucks logo (I read that you can use Gibson and Freight Sans too, but I was looking for something free).
The software that comes with the Silhouette makes it easy to curve the text. I created a whole sheet, then printed it on full sheet shipping labels which are really just a full sheet sticker. Once printed, I sent the sheet through my Silhouette which cut the circles out. JJ helped me put one on each cup and we filled them with a hot chocolate pack and some Hershey kisses. The most time consuming part was finding the right font. The rest was simple, but repetitive. Here's what 30 finished cups looks like!