Depends on what kind of Zombies and the transmission of the virus. If its 28 days later zombies I'm doomed. Slow Zombies that transmit thru blood or saliva I can make it a while.
If you live in a city your chances arent good, gotta make it out to the country and hole up. Or be in a fortified structure with enough food to last everyone out, the humans are going to be just as bad as the zombies.
I would try and get my family to the marina and get our asses on a boat.