Help choosing sub for CVE-12?

Hello,

I'm new to speakers, subwoofers, amplifiers etc. I've had a pair of Cerwin Vega XD3's for almost 5 years, and they play extremely well. I therefore decided i needed something new. A speaker that i could play 100% volume for many hours straight. I obviously went for Cerwin Vega again, and i bought their CVE-12 bluetooth speaker which plays extremely well, at 126db max. I'm now looking for a sub to pair with my CVE-12, because i really want that shaking and feel the deep bass in my body. I know the CVE series have a slight hissing sound, (because of the 1000 watt its drawing i read?), and that does not bother me.
Does anyone have any suggestions for a subwoofer with extremely deep and hard-hitting bass? I would like it to be an active powered because, as i mentioned, i know absoloutely nothing about amplifiers. 
I'm willing to learn about amplifiers, if needed, and if i'm provided with one, i could try it out. 
I also want the subwoofer to not have RMS, because if i understood correctly, i can't do 100% volume for a long period of time with a speaker/sub that has RMS at ex. 500w??
Sorry for the bad english, not a native speaker. 
Budget around 1000$ could be cheaper, wouldn't mind. (amplifier not included, if needed)

Thanks!
William