Interesting project ya got there. Definitely a fan of a single subwoofer with enough air volume behind it rather than cramming two without enough space. I would spend some time looking at power supplies, and make sure you choose one that has the right parameters no matter if it claims to be good with batteries or not:
Input:
Obviously, you know you need a power supply that takes DC unless you're willing to expand your project to some circuit design. With a battery pack, reaching 12VDC is not difficult.
Efficiency:
For battery operation, you certainly want to stick to a switching power supply for efficiency, usually called class D or H, all of which have efficiencies in the 80-90% range. The catch is that max efficiency is at a specific power output. Switchers also usually require a minimum output power to run, so you want to match the max output power of your amp to the levels you plan to play.
Dropout Voltage:
Here's the spec that should show if a power supply is truly battery compatible or not. Unlike car applications, battery voltages drop as you use them between charges. You want a power supply that will keep working well below the rated input voltage.