I know this has been covered before, so apologies in advance, but I can't find the thread. When booking with America West, should I be doing so through via FC services to make sure I get the airmiles, or can I do so by booking with AW direct?
Either way is fine - you can also give them your FC number at check in.
One thing to be aware of though, is that HP have issues with taking bookings on their own site from certain UK cards. You might find yourself having to buy them through FC (who are not normally any more expensive) or Travelocity/Expedia, etc. in order to be able to actually purchase a ticket!