To core and peel peaches, first make a cut all the way around the peach, all the way to the pit. Twist each half of the peach in opposite directions, trying not to bruise the fruit. If the peach is ripe, you should be able to pull the pit out easily. Put the peach halves in a pot of boiling water for about 20 seconds, then use a slotted spoon to remove them to a bowl of ice water. The peels should easily slip off; if not, repeat the boiling/ice-water process until they do.