Make sure that when you are downloading or uploading anything, and I mean anything from the internet that you do it though VPNs or other services that place some barrier between you and copyright trolls. You don't need NSA-levels of security to avoid the trolls, just enough of a barrier that their automated tools cannot see you so easily.
If you run a website, generate all your own content. Don't use stock photos. FYI, film and TV have been dealing with the same issue for decades. It is normal on a film/TV set for there to be zero tolerance for anything that might be subject to copyright. Any painting on a wall will either be blurred or the film will commission a new painting. That is a healthy policy for any website: if you want a little drawing of a mouse, pay someone to create one for you. Don't pay 5$ for a stock image that may or may not be appropriately licensed.