I think most homes do have 15 amps and it's a good idea for you to upgrade yours...but I don't think that's why you're having the hum issue. I have a mixer/amp that hums loud and I managed to minimize that dramatically by just using the "cheater" plug. My Cary Rocket 88R is dead quiet despite cables overlapping and touching everywhere! My Cary V12i's mono blocs are the ones that hum and with my set up, it's impossible to keep the cables separated. I would have to sell all my cables and buy new lengths to accomplish that.
I will try to get my hands on a humbuster and let you know if it really works. In the meantime, we may have to just take many others' advice that it's "the nature of the beast" and overlook it as long as you don't hear the hum from your chair. With having said that, the room is soooo much quieter once I shut off the amps :( :( :( However, the music is still sublime :)
And if you haven't done so, try the cheater plug on your amp.