Shooting videos of Studes and other stuff

I need to buy a new video camera. My old VHS RCA unit crapped out on friday night. I've seen studebaker videos on You Tube,I don't know what equipment they use. I'm looking for suggestions on what is a wise choice of video camera these days. I'd like to be able shoot some drag racing footage of my Lark and be able to post it or make it into a disc and send it. In a way it is a good thing the old VHS unit died. I'm also wondering about recording in stereo as well. If anyone has any good suggestions and experience in this area please share them with me. I'm looking to spend up to $800 or so on a camera. My son and his band have been playing some gigs locally and I've been taping them for the band. It helps them a lot to see their mistakes so they can do a better job next time. Thanks for reading this and I appreciate any help you can give me. Thanks again, Joe