Simple answers to this one - currently there's no reliable way to get
iTunes working in Linux :-( I've read about varying degrees of success
installing through Play on Linux and Crossover but AFAIK it doesn't
work well.

iTunes has to be the last major hurdle to jump but it's more than
likely that if someone does it then Apple will quickly take steps to
break it by changing the way iTunes works. They have no desire to see
their premium services hived off to a free platform