Rather than editing each rule, Change Group of All Rules to move an entire policy rule set from one tag group to another existing tag group. The rule order of the tag group rules is preserved when moved to the new tag group, but you have the choice of placing the new rules either before the rules in the destination tag group, or after.
Move Top inserts the rules at the top of the destination tag group. Move bottom inserts the rules at the bottom of the destination tag group.