I am wanting to set up a remote desktop connection for 2 reasons.

The first is that my neighbour always has problems with her computer and it would save me a lot of time to just jump onto it via a remote connection and fix the problem she is having. Can anyone reccomend the best way to do this? I dont mind having to go over to install software if required. So, just really the best way and most reliable way to set up the remote connection. Obviously I dont mind her knowing that I am operating her computer.

The second reason is that I want a way to do a remote connection to my home computer when im away. But I want this connection to be un-noticable to the user at home. I want to be able to view the computer and take control if I need to. This is because often when I am away, other members of my family use my computer when they know they are not meant to.

So any suggestions would be greatly appreciated.