Computer sync damage

I got a new computer. When I signed it into Microsoft a lot programs file were downloaded, which I did not need on that computer. When I put them into the recycling bin in the new computer, they were deleted from another computer, where I need them. I had to reinstall some programs. How do I prevent network computers from "syncing".  I still want to have the ability to move files from one computer to the other.

There also are recurrent problems with all the computers appearing on the network....they come and go.

Peter