Remote Desktop Versus Team-viewer And Other Stuff

the same Win 7 CD I used on my primary computer.I own a small home recording studio, where my console houses two computers with three monitors. My main computer is my Digital Audio Workstation(DAW) and as I am a professional Detailer, it also is my 3D graphics workstation. The other computer is for Midi, Internet, HTPC, and various other things, although both computers are networked through a router and can access the Internet. However, for security reasons, I don't use the DAW computer on the net except to download various upgrades/drivers etc.Because of ergonomics at the console, I would like to access both computers with only one keyboard/mouse. While doing research on Win7 Remote Desktop, I discovered that Win7 Home Premium will only allow this computer to be a Client, but not access a HOST, while Pro/Ultimate will allow a computer to be a host, but will not allow you to access a CLIENT, which is ODD, as if you pay premium price for Pro/Ultimate, it would seem you would want to use it to access a Client computer, not the other way around. Currently, my secondary computer runs XP, and since Home Premium will not allow my primary computer(client) via Remote Desktop to access my secondary computer because it isn't a HOST, I'm looking for an alternative.

I have been researching Team Viewer, as I need an App that will allow me to teach my daughter Sketchup, as she is an Interior Designer. However, she is 500 miles away, and uses a Mac Laptop. Hence my research, which tells me Team Viewer might be ideal. But it dawned on me that maybe Teamviewer might also solve my other desire. Can anyone provide some insight into the pro's/cons of TeamViewer vs Remote Desktop. I had considered purchasing Win7 Pro for my secondary computer just to access it from my primary computer, which would still run Home Premium, and it would be the client, which again, it seems Remote Viewer via Win7 Pro is backwards, but maybe I'm missing something here. Any info would be appreciated as I am semi retired and my income resources are limited. And then, I have a THIRD computer, running XP, that isn't on the net. I was wondering if I can use the same Win7 Home Premium CD to load Win7 on that computer too, since I don't access the net from it.