I was starting to think no one else had read the Zombie Survival Guide. Or are you just a straight thinker?
Though personally I don't go with all this talk of cars are useless due to fuel. Well, depending on the car at least. I know that on average America uses 1.7 the amount of fuel per car other countries use. But anyway, find a good car, fill it up and carry an extra tanks worth in the boot. A bicycle in the back seat, unless you have friends, though they could do the same and have a convoy. You will have at least a days worth of straight driving, and it's not as if fuel is hard to find is it? In the time it takes a horde to catch up that 10 miles to that remote gas station you carefully cleaned out earlier you could refill a hundred times, clean your weapons, reinforce your ride again, and do whatever. All whilst grabbing a snack and last weeks newspaper.
A car allows to carry all the ammo you can find rather than leave it behind and risk running low latter on. And unlike in the movies, a car doing 60 is not an easy thing to simply grab onto, nor do doors and windows fall off like tissue paper. If you can find a vehicle with genuine off-roading abilities not even the densest horde will stop you crushing hundreds in each charge. Otherwise choose a good blend of fuel economy to power ratio, and have a friend shoot while you pull up every 200 meters. If it comes to it, you can always ditch the thing and take your bike. Or, find another of the millions of cars infesting our planet. I seriously doubt the zombies are going to have the foresight to take their keys with them when they leave home. People put them in obvious places. Stay mobile, stay versatile, stay alive.
And don't listen to em Sinful, we need people like you. Zombies cannot bake cookies. We have cookies.