Are you wanting to just transfer a few files? If so, do both systems have a network card? If so, that's the best way. Or, if the ME box has a burner, that works too. But, if those options aren't available and both do have working USB ports, flash drives should work fine
I've never had a machine with ME before. But my brother does and we just got him a used but a pretty new pc with XP on it.
I've tried researching a couple of ways to transfer files to the new pc, I looked at Apricorns DriveWire Hard Drive Adapter but it doesn't work with ME.
Is a couple of memory sticks the best way really to do this?