Hi, thank you for contacting JustAnswer.com. My name is Russell. I will do my best to provide the right answer to your question.
Having read your question, and having read the first response by the previous Expert, I feel that what you really need (for really good sound recording while taking video) is a camera *or* camcorder, but one with a good-quality (as far as dB of frequency response and recording, and so forth, goes...) external microphone plug-in jack.
With the right external microphone, as well as a good camcorder or camera, you can record the audio properly even down into the bass, as well as take good video.
The reason I would recommend a good external microphone jack capability, is that the microphone in a really compact video recording digital camera or camcorder, is rather small, and so its ability to record low frequencies is challenged. And external microphone can be larger, thus able to handle lower pitched sounds too.
Aside from that, do you have any preferences as to method of recording, whether you will be processing or editing the video on an Apple computer or on a Windows PC, and whether you would prefer a high-quality-still-photos capable camera, or just a camcorder for just video recording?
Let me know, please, and I will give a detailed and sufficient answer.