There is no one way to record web videos. Everyone has their opinions and reasons for doing what they do. Equipment discussions can and do get passionate.
The bottom line is what do you need to get the job done.
Caleb Clark recorded this video to share what is in his kit, options you have and tips to keep in mind when thinking about buying video stuff. One of the points that he made is that you don't want to be totally dependent on software that came with the camera/camcorder or a specific software to get the job done.
Plan for flexibility. Know that you have options if something doesn't work out the way that you expected. For example, if your software locks up on you and you are on deadline do you have alternatives you can use in a pinch?
You don't necessarily have to spend a lot of money. In fact, you might have what you need around the house. Look to see what you have before spending money on what you need.