How to enjoy a perfectly mixed hot beverage without using a stirrer

As a former barista, little strikes me as more wasteful than the gigantic piles of coffee straws, stir sticks, and spoons that reliably accompany every warm beverage display. Many coffee and tea drinkers don't realize that by simply rearranging the order in which one mixes a drink, it's possible to never need a stirrer and still enjoy a perfectly mixed cup o' whatever. It's all in the swirl!