Team Viewer is good, but it requires someone at the keyboard on the host end to allow the connection at the moment the remote client tries to connect.
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In Teamviewer installation click the advanced box and set the software not to require someone to accept the connection.
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For me, this is not much help if I want to randomly access my home PC from work. I can't seem to train my dog to grant the connection for me.
VNC is ideal for me because it is a host server, and runs in the background. It does not require someone at the keyboard in order to connect on.
I have not used VNC in a few years but remembered it was very robust, secure and really fit the bill. Now that I discovered Windows 7 Home Prem does NOT have remote desktop server, I will be trying that tonight.