Moving them is the way they cover it up. Same for all religions, except muslim.
Cannot speak for other religions, but I can address your comment as it relates to the Catholic Church. Moving some pervert priests has been a way that some corrupt bishops cover up for the perverts.
The policy of moving priests around has more to do with keeping priests as spiritual guides to their flocks rather than letting them settle in and become familiar members of the family. It is often difficult for the parish and for the priest when a priest is assigned to another parish, but it is all part of the set-up.
These sexual perversion incidents, while sensational and headline-grabbing do not represent the behavior of the vast majority of priests or of the clergy of any other religion, but that does not stop some people from generalizing.
Prayers up for Holy Mother Church.