Add a tab in the Edit Address window listing all members of a Household, Group or Organization giving the user the ability to select via a check box specific members or all members to apply the address change or new address to.
In some circumstances you may not want to apply the address listed on the Organization record to the individual record. This would give users the ability to make the change from one window versus having to open and edit each individual needing the change or update.
With this in place a user could fill in the address information and select which members to apply the new or edited address to. Once they click save, the changes would only be applied to those selected individuals as well as the Household, Group or Organization record the change was made from.