This really needs to be reexplained.
I believe whatever rank you are, you request the name change, and then submit a new application so it's on file. However, if it is a minor change, you do not need to submit a new application. (Ex: Booster37 to Booster would be fine, same as Booster37 to B??ster37).
However, eG's and eGO's doing this lose their admin if they are changing it completely.