Car amps and subwoofers are designed for 12V. They may also seem relatively louder when compared to typical home subs because they typically operate in a much smaller area and benefit greatly from an effect called "cabin gain" which is simply lost when the subwoofer operates in a huge room.
I'd recommend that you use the stuff designed for 120VAC for home theater and such and leave the 12V stuff in the car.
If you need higher levels of bass, there are many 120V solutions out there. Hsu research has some reasonable priced subwoofers that will simply knock Bose out of the water. Even a little Hsu STF-2 (10" subwoofer, 200 watts power) will probably outperform most car audio amp and sub combinations costing twice as much. Go up to a VTK-2 MK3 (15" subwoofer, 350 watts power) and it will positively shake the floor and walls.
http://www.hsuresearch.com/subwoofers.html
Or if you want something a little less expensive, try Parts Express. Here's a Dayton Audio powered sub. Just plug it into a 120V electrical socket and give it an input from your Yamaha.
http://www.parts-express.com/pe/showdetl.cfm?Partnumber=300-635
If you insist on using a 12V amp and a car sub in a home installation, you'll need a power supply. A typical 2-channel amp like your Kenwood is most often about 40-50% efficient, so your power supply would need to output about twice the RMS watts your amp outputs. The Kenwood claims 500 watts with the channels bridged, so you would need a 1,000 watt power supply. This one claims to output 996.9 watts at 12V, so it should be sufficient and provide adequate current for the Kenwood amp.
http://www.trcelectronics.com/Meanwell/se-1000-12.shtml
If the Kenwood is more than 50% efficient, you could probably get by with a smaller power supply, perhaps as small as 600 watts or so.
http://www.trcelectronics.com/Meanwell/se-600-12.shtml