you could also setup a VPN..

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VNC will allow you to fully control the remote PC from your pc. However, that pc will always have to be logged on and connected to the network. using a VPN, you will ensure a secure network, virtually hacker proof, if properly secured.

You will NOT be able to reconnect to the remote desktop after a reboot, unless it auto logs in (i.e only one user without password) and auto connects to the network. however, the remote desktop will need admin password.