Although my answer works for 2008, it might be helpful for 2005 version. You can do this several ways. One is to use a File System Task and copy all the files in the directory to the destination folder, the other is to use a Foreach Loop and move files one by one for each file you choose with the File settings. With *.*
all files will pass.
There are a lot of videos online, like: move & rename or just copy Or check out this link to give you an idea.
First method will copy all files from source folder to destination. This also keeps the files in the source. (TEST is the sourcefolder and TESTB is the destination folder.)
The second method (see below) is much more flexible: a) create a Foreach loop b) put File System Task in loop. Create a String type variable and choose it in the SourceConnection. Just put something in de default value of the variable, so the code will have something to start with.
Perhaps there are more methods, but these worked for me. Hope this helps!