Do you want to maintain the subfolder structure (i.e. files from a subfolder in the source go into the same subfolder in the destination)? If so, this should suffice:
$src = 'D:\source\folder'
$dst = '\\server\share'
$age = 10 # days
robocopy $src $dst /e /move /minage:$age
robocopy
can handle verification (done automatically) and deletion by itself.