No cables are used. Instead, you copy the hard drive from the old computer and restore it to the new computer. It's that simple, except that there is one very important 'gotcha' to know.
First, some terminology. There are two ways to make an identical copy of a hard drive: an image and a clone. An image excludes the empty sectors of a drive, while a clone includes everything. A clone is used by law enforcement to study the contents of the drive. You only need an image.
To create an image, and to restore it later, you need disk image software. Of course, you'll have to spend some time learning how to use it.
Now for the big gotcha:
Your existing Windows installation includes drivers for your existing hardware. But you're going to be restoring your image to a computer with different hardware, and that can result in big problems that are impossible to predict in advance.
To deal with this, your imaging application needs to be able to do a hardware-independent restore. That's where the image is restored with generic drivers that will suffice to get the computer going. Then you'll have to remove the incorrect drivers and replace them with proper drivers.