Log intothesiteusingyourAppleID (thesameusernameandpassword you use in the iTunesstores), and Applewilldisplayallof the computerstheyalreadyknow about.
After all, in order to activate an iPhone, iPad, or iPod, you need to have an AppleID and that means you need a credit card even if you only want to redeem an iTunes gift card.