Camcorder

Having three children and a fourth one on the way I am trying to find the best deal I can on a new camcorder. The one that we have is about 13 years old and doesn't work anymore. I am wanting one that is smaller and records on to a small DVD. I would like to do more taping of football games, basketball games, concerts, and other special moments like recording the new babies arrival. I am not up to par when it comes to these types of electronics so I will need to do more research before we purchase a new one.