Thanks for all the advice.
I've tried logmein, and it seems to be okay.
One more question regarding the security of it.
To gain access to the PC, it must have "logmein" enabled. I was planning on not doing this unless it was needed, at which point, I would get the other half to enable it. (after an e-mail of telephone call)
Provided that it is left disabled, is there any way that any outside hacker or sniffer program could still access the computer?