Interesting thread. My first thought would be to move higher up out of the way of the chaos and panic, getting myself and my family to a relative safety away from looting etc. I'd then go and find adequate supplies to help establish a more permanent shelter. I'm by no means a bushcrafter but I'd do my best to live off the land and feed my family until the worst has passed (maybe 6 months) by which point looting will be over, population will have withered due to lack of food/water. I'd then prepare to move on to somewhere else where I could better provide for my family and start rebuilding a community with other likeminded people.