We have a JVC, I think--can't find the camera right now to look! It's relatively inexpensive and gives nice pictures. If I could afford it, I'd definitely get one with a HD. I do the team video each year, so see a lot of people's cameras and those by far give the nicest pictures.
Since you want to get the video into the computer, make sure it has an easy way of doing it. Most new cameras do, but some require their own software--you don't want that! I've found that a firewire connection works the best--drops the fewest frames when transferring in.