Thanks marko.
This was the key pharase that helped from the link you sent:
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Before you press OK, a few words about "counter()"...
Once invoked, it will keep on counting untill it has been inactive for more than 5 seconds, at which point, it will reset to zero, and keep on counting. What this means is, that if you mouse over the "before/after" columns of the rename, move and copy tool, you will see from the tooltip info that the prepended numbers keep changing, so, what you need to do is trust that the tool will do its job correctly, wait more than 5 seconds, then hit the OK button, making sure to keep the mouse out of the "before/after" area.
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Especially the part about "trust the tool".
I used "PadNumber(Counter(1),4) - [Artist] - [Album] - [Track #] - [Name]".
And it works fine.
FYI: I rename the files in playlists sequentially, so that when transferred to other devices, I can sort them as desried (assumming the particular player allows me FAT access via ReOrganize).
Michael