But because he posted the question in the VB.NET forum, perhaps something in code would be nice.
.NET has two very useful objects for managing files and directories.
DirectoryInfo and FileInfo.
With those you can do pretty much anything.
In order to locate all the files within a directory, you pass the top most folder of those files to the constructor of a DirectoryInfo object.
Then you can iterate through the Files collection and pass each file to a FileInfo object.
From there you simply copy the file to a new destination.
Private Sub CopyFiles()
'Pass the top-most folder to the DirectoryInfo constructor
Dim dd As New System.IO.DirectoryInfo("<original_path>") 'Ex: C:\SomeFolder
'Iterate through the Files collection and pass each file
'to a FileInfo object
For Each ff As FileInfo In dd.GetFiles("*.*", SearchOption.AllDirectories) 'AllDirectories for recursing through sub-folders
'Copy the file to a new destination
ff.CopyTo("<newpath>" & ff.Name) 'Ex: C:\NewFolder\ (ending backslash required)