So say you put an amp on it, then what? how are you going to play tunes.
I knew a fella the ran a car head unit with CD, mp3 jack, and tuner on a car battery with car speakers and a sub in his room. He let the car stereo head unit power the speakers and had an amp for the sub. I suppose he had a battery charger or something???? That was some serious one note bass. He loved it, I never got why he went that route and though it sounded like shwit but hey, we were listening to good tunes which was the main thing.
You need to decide if you want the front end to be car stuff or home audio stuff. That will determine if you need a car amp or a home/pro amp. Not sure how those speakers will do on a home AVR.
It's a nice gift but those subs are 8in and go for 20ish or less. Speakers go for 20ish or less as well so we're not talking high end here. If your dead set on making them make noise. Recommend you find a bare bones used car stereo/cd maybe with an m3 jack for the source and powering the boss's, a used two channel car amp around 300 watts for the subs and maybe pull a battery from the junk yard or something like that. you'd need a way to charge it though. Are those mains even going to play right not mounted? My buddy I mentioned above had his mounted in their own boxes. Too much trouble for 100 bux if you ask me. If I'm going to the junk yard its either a hard to find part or Im saving more then that.
Craigslist and pawn shops may not be a bad place to pick up some of that stuff either.