If you try to bi-wire, either connect all the wires to the A or B (not both) on your Onkyo receiver. The A/B on your receiver is meant for running separate pairs of speakers. I am not sure the load will be right going to the same speaker from A and B.
Some amplifiers have 4 binding post made for bi-wiring purposes, which are all on the same circuit.
Whether you buy bi-wire speaker cables or use 2 pairs of single cable is up to you. The results will be different, but one way is not necessarily better than the other. Depends on many factors, including the quality of the cables and your system.
If you already have a pair of good single cables, you could just buy another pair to bi-wire. This may not work if you have bananas (you could re-terminate them). You can put spades/pins or bare wire in the same binding post in your receiver.