Greg,
I have been using Teamviewer for several years and frankly, its one of those "too good to be true" things. The price for commercial use is very hefty, but for personal use its free. I have a copy on my weather computer, my out of state sister's computer (with weather programs on it) and my Galaxy S4, so I can operate either computer from the phone or either computer from the other computer.. Would work for you.
George