If you want bass management you want a AV receiver.
AVR's will also have a front USB input for your iPod, include Airplay and lossless HD audio from Blu Ray players.
Biamping is a waste of time
Audyssey is superior to YPAO in my opinion. The Denon AVR 1713 uses Audyssey MultEQ XT which is even a higher version of Audyssey. Of the 3 receivers you linked this is the one I'd get.