I try to write a script that can monitor a folder H:\\Start
and copy a new subfolder with its files in H:\\Start
to new location H:\\Target>
You don't need to store anything, you can use
xcopy /d /s h:\start h:\target
/D:mm-dd-yyyy
Copy files changed on or after the specified date. If no date is given, copy only files whose source date/time is newer than the destination time.
but if you need a list of the files you can just use a redirection :
xcopy /d /s h:\start h:\target > logfile.txt