PS we Episcopalians do what we call "exchange the peace" midway through the service, after hearing the Scripture passages du Jour and before communion, roughly. Not OUR peace-- we wish one another Christ's peace ("which passeth all understanding") with the handclasp as a sympbol of that and a sign of agape love. Some people, some parishes, use a kiss of peace or a hug (more smarmily secular IMO), but in the main it's the right hands offered and taken.

~Susan