I have stayed at BC MANY times and at Pop a few time (I know it's not AoA, but it's similar).
Given that it's something that isn't going to kill your vacationing budget, I'd definitely go with BC. At that time of year, the Epcot resorts are prime real estate because of the Food & Wine Festival so being able to walk to that at any time is a HUGE plus. Especially if you and your husband plan on sampling some drinks. But one thing to look out for is that the availability is sometimes limited for these resorts because of this.
The pool at BC is unmatched by any other pool on property. If your boys love swimming, it's a no brainer.
The big downside for me about BC is the transportation to MK, AK and DTD. It's horrible. MK isn't as bad because the bus is only shared with YC, but for AK and DTD, the bus is shared with Swan, Dolphin, YC, and BW and it is stop number 4 between YC and BW. And sometimes it's OK, but sometimes going to AK or DTD as the 4th stop means there are no seats left or going back to BC, it's and extra 10-40 minutes depending on the capacity and slowness of the other stops. I have found it's much more mentally draining knowing that you're so close but it's seems so far.