Just to clarify, the 1% on the Avion is only applicable for straight travel redemption, i.e. not the Avion redemption schedule, which is potentially much better than 1%. So, the Private Banking 2% is not necessarily much better than travel purchased directly using Avion points.

Of course, travel redeemed using AA/BA points transferred from Avion will likely have the best bang for buck, particularly for long-haul premium cabin travel and particularly if transferred during the recurring promos (like the recent 1.25x AA and the current 1.5x BA promos).

BTW For anyone to answer your questions in any meaningful way, you'd need to specify what airports you'd be willing to fly out of and what destinations you have an interest in visiting.