All windows in my house have bars, the walls are made of concrete and on the outside there's a zombie-proof concrete wall with even more bars, so it would be pretty safe. It is also in front of a supermarket (which has glass doors), so I'd have supplies for a while if I managed to get across the street (which might be a slight problem, yes). There's also a gun store 3 blocks away, so I'd probably need a car to get there.
I have lots and lots of leather and thick clothing that could protect me from random bites and scratches, a neat sword, and the Zombie Survival Guide (which would be useless, I know).
So yeah, if the army blew everything up: I'd die. If I ran out of supplies: I'd die. If I got sick: I'd probably die. But at least I'd have a chance!