Sgalb: You'll also need a bipolar power supply to energize the coils positive & negative. I'd suggest a fluxmeter (or integrating voltmeter) to measure the field in the search coil (the one that surrounds the magnet). You'll also want to have the test material in a closed magnetic circuit.
For truly accurate measurements, I recommend sending the parts to a lab. There are a number of good ones in the US that'll charge a reasonable fee, they've been mentioned in a threads before.
Regarding permeabilities: I had a class in NDE many years ago that included eddy current testing. From what I remember of those days, your description/understanding of the permeabilities in aluminum, copper, ferri- and ferromagnetic materials is correct. I think we called it maximum permeablitiy back then. I don't recall the term absolute permeability, but things may have changed.
Mike