What about just sharing the files on a network ?
Browse and get.
You still need a network for any other method like VNC or Remote Desktop anyway so why not just browse through the file system.
Also as a side note, a KVM switch is a good idea if you have a few PC’s in one spot. At the moment I can look at 5 servers plus 3 separate PC’s on the same monitor at the touch of a button without even leaving my seat. All sitting right under my bench.