I purchased an ipad 4 last Friday. I have an older HP printer (photosmart C4480) that is non-wireless. I read there are apps you can purchase that will allow the ipad to print to a non-wireless printer.
Buy a new hp printer as cost is low and it works with air print direct or via a wifi network. Look for in built wifi hot spot in description on hp web site as it does not require a network wifi router to print