How to use TeamViewer to transfer files
To make it clearer let's consider your new computer as the "local" computer and your old computer as the "remote" computer. What you now do is to type the ID number of the "remote" (old) computer into your new computer and check "File transfer" instead of the default "remote control". Once you click on "Connect to partner" you will be asked to type in the password of the other computer. Having done this click "Connection" and you will see a new page with the directory of all the folders on your new computer on the left side and the hierarchy of your old computer's folders on the right. This is where the real business (I mean fun!) begins.
Just choose the folder on the right side that you want to copy into your new computer and "drag" it to an empty space on the left pane. Once you release the mouse you will see that the transfer starts immediately. But if it is just a particular Word document (or photo or video) just click on the folder where it is and on the other side open the folder where you want to put it in then drag it there.
But that's not all. With Teamviewer it is also possible for you to control a computer anywhere as if you are physically in front of it! In fact "remote control" is the default setting that we did not select earlier as we were more concerned then with transferring files. So each time you run TeamViewer you'll be given a unique session password which you can use to enter another person's PC or to enable another person to enter yours in case you need remote assistance.
Note: If you should see any TeamViewer notices opening up in tiny windows please ignore them and most important of all, don't close them as doing so will cause your transfer to be interrupted and you will have to start all over again!