To caress someone or something means to stroke it gently in a loving or affectionate manner. Don't you love to caress the soft fur of your pet hamster or cat?
The word caress can be either a verb or a noun, both of which refer primarily to the affectionate petting or stroking of another. You can also use caress to mean any sort of kind or loving action, and it can be accomplished by things other than people. The soft wind can caress your skin as you walk towards the ocean’s edge. And who doesn't love the caress of smooth silk sheets against your skin when you get into bed?!