There's no "shortcut" way to do what you're looking for. You're going to locate all the roots of permission inheritance in your various folder hierarchies and apply the "New Group / Change" permission to those hierarchies.
I suppose somebody could write something to seek out all folders where inheritance is blocked and automatically apply this permission change but I'm not aware of any such tool off the top of my head.
Edit:
The script below will (in a very simplistic way, and probably not 100% reliably) locate the top of permission hierarchies using the icacls tool. Specify the starting directory on the command-line.
(The script is just looking for DACLs on files that have the SE_DACL_PROTECTED flag set, per http://msdn.microsoft.com/en-us/library/aa379570(v=vs.85).aspx).
@echo off
if "%~1"=="" goto end
SET TEMPFILE="%TEMP%\%RANDOM%.txt"
for /D %%i in ("%~1\*") do (
icacls "%%i" /save %TEMPFILE% >NUL 2>NUL
find "D:P" %TEMPFILE% >NUL 2>NUL
if errorlevel 1 del %TEMPFILE%
if exist %TEMPFILE% echo Top of permission hierarchy: %%i
if exist %TEMPFILE% del %TEMPFILE%
call "%0" "%%i"
)
:end
You could easily add a condition to alter the permissions on the directories you find or just output the list to a file then iterate over the file.