That said, escaping from crazed cannibals is still far more terrifying than wandering through a desolate wasteland. Security from outside contact is a number one priority. How can one get all the resources they need at a moment's notice, without having to venture outside their fortified domicile?
Personally, I favour an apartment rooftop outfitted with a greenhouse to grow crops. With the fire escape dismantled, it is virtually unreachable. It allows for open air and easy waste disposal, as well as offering ample opportunity for rainwater collection. It also provides sufficient shelter from weather of all types. The worst part of this plan is becoming vegan, but it's something I think I could deal with until the last of the zombies rot away.
Speaking of which, do zombies decompose like normal corpses? If so, finding shelter in the desert may also be a good choice, where the heat can turn the freshly dead into a pile of sun-bleached bones in a relatively short period of time. Conversely, one should avoid northern temperatures where zombies can be frozen solid for years and years before thawing out and continuing their infestation. These are some very serious concerns that should be explored by the foremost scientists of our time.