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There are programs available (possibly some free ones) that will do this for you.
You can make this MUCH easier on yourself if you store all your personal data (or as much as possible on a separate drive or in separate folders on your main drive so it is only necessary to move those folders (or folder) between computers to move all your personal files. If you do that, you can use Reflect File and Folder to backup that data and restore it on the new computer. I think, however, you are asking for a utility that will do that in one step without the need to do backups/restores. As I said, above there are programs that do that.
The issue is: Reflect has no idea what files/folders/drives you want moved. It does not know what is important to move to a new computer and what is not. If you are going to tell Reflect, you might as well do it yourself. You say, the computers are connected so you can just use a file manager (like Windows Explorer or others) to move the information.
NOTE: you CANNOT move programs between computers - they have to be reinstalled on the new computer.
Another option (which is what I do) is to backup your ENTIRE old computer as an image, then restore it to the new computer. There are some issues with that process - like incorrect drivers, but those issues can be resolved in less than an hour if you have all the drivers for the new computer. You probably should update your old computer's Windows to the version you want BEFORE doing the move. It may go a bit smoother - but it is not necessary. You will have to deal with Windows license issues doing things that way, but that is usually not a major issue. Worst case you would have to buy a new license for the new computer.