Thanks mate, but it's not quite the same. In fact, I already use a RDP app, Remote Desktop 7.
RDP has its place, but it also has its limitations. For example, on the same network, access to other computers is quite easy, but via internet (which is the issue here) I would need to open a different port on the router for every computer I would like to access, and repeat on other routers on different networks. Another limitation is that RDP access is not available on Windows Home versions.
With Logmein, the agent installed in every computer deals with the connection, no need to open ports. It also supports Home versions.