can use regular size ones and adjust your ratio of
peppermint-to-vodka however you like.
I had seen a few recipes calling for pulverizing the candy canes in the food processor, but save yourself the trouble of having to wash your processor and just toss them in your jar or bottle. If you use regular size candy canes, just break them a little to fit and give your jar a shake occasionally. I tossed in a large candy cane after breaking it, it takes a little longer than the small ones, but still easily dissolves. My candy canes were completely dissolved in about 3 hours, ready for gift giving.