AardvarkGoodSwimmer wrote:
So, the issue of someone pulling a history from a router or hub (and I don't know which one we have), I take is not that big an issue? If it matters, we have AT&T with the triple play of phone, cable, and Internet.
Google the model number of the router, locate the manufacturer's support page and download the PDF user manual. Most domestic routers do not support logging of all traffic - they might log incoming connection attempts, or other potential malicious traffic, but not all outgoing regular use.
Anybody with physical access to your computer can (with a little technical knowledge) boot it up from a CD and read your internet history, email, etc., so physical security of the machine is important. More complex alternatives are to regularly housekeep your history (e.g. the "Keep history until I close Firefox" option) or encrypting a portion of the hard disc.
Ideally you should develop some mutual trust with your parents so that they are sufficiently aware of what you do on the internet that they have no interest in reading the contents. Much safer all round.