After looking in the forum for hours at end, I think I've found the headphones I wanted. I mainly listen to classical music and I don't like much bass. The cans I looked into were the HD-600, AKG K 702, AKG K501 and DT 880-600.
I came to the conclusion that DT 880-600 suited me money wise and needs.
But now to the amp, I wonder if this amp can give enough juice to the DT 880-600
If not I don't get the desirable amount of juice from that amp, then I will rather choose AKG K 702, which should work if what people say on the forum is right, about it doesn't need "that" strong of an amp.