To make a good backup of your hard disk. You need to guarantee the quality and speed of the cloning. I suggest you use some software to help you, which can lessen the time and guarantee the quality. It is important to make sure that the cloned hard disk contains the same data of your previous one, especially when you make a copy of some important files.Easeus todo backup is such a free software which can help you make an identical copy of your hard disk without causing any damage of your previous data. You can download from their official website for trail.
If you have a way to connect to the Internet you can use an online backup service like Mozy. You can sign up for a free account that will hold up to 2 GB and you set when it runs and how often. They encrypt all the data in transfer and storage so it is secure. If you have more stuff than that they also offer paid plans.