While a lot of scenarios will still end with the same kind of actions, it really depends alot on the KIND of zombie outbreak. Are you dealing with a virus? Fast or slow zombies? Real undead vs infected alive humans? Pieces still alive (Night of the Living Dead), headshot/burning destroys (most zombie scenarios), infection only by bite vs infection by any body fluid on you, etc.
Mostly, I would probably hold up in a secure area for about a week to let the initial hysteria die down, either by people getting everything under control or the hole enchilada falling apart and the initial running and dying of the lemmings become a thing of the past. Once that time had past, then it would be time to assess the situation, fortify yourself with weapons and supplies and get the heck out of a populated area and look for a better place to start again.
"The more I get to know people, the better I like my dog." - Mark Twain