I recently got a new desktop PC, and am about to connect it to the internet. To do this, my service provider told me I'll have to connect it to the router used by the other desktop in my house. This concerns me a little bit, because the computer the router is connected to now has had a lengthy history of malware attacks.
So my question is this... Hypothetically, if System 1 was infected with malware, would it be at all possible for that malware to spread to an otherwise clean System 2, via the shared router? As soon as I can establish an internet connection on the new system, I'll be setting up Kaspersky AV 2014 and a full (paid) version of Malwarebytes.
Any input is appreciated. Thank you!