Anything that is deemed as a melee weapon should become your main weapon. If you are on the run after losing your fortification, a machete or sword would be ideal. A nice, clean sweep will remove a zombie or group of zombie’s heads, while a bludgeon with high impact will crush a zombie in one, forceful blow. Either item is easy to carry on your hip or back. A big advantage to a melee weapon is that you don't have to reload.