Although I doubt a zombie apocalypse will occur soon...
I don't own a gun, but I doubt that it wouldn't take to long to find one or two. I'd probably hear about the apocalypse in advance, and team up with some friends or something. From there I'm guessing we'd reach high ground, like a roof of an apartment building located in a small nearby town, depending on the speed and intelligence of the zombies.
"Plan B," would likely be kayaking down a river rather close to where I live, and following it to the ocean and head south along the coast.
Like in 28 Days Later, the zombies have to starve sometime, we can wait.