The single most important safety precaution to use around flammable liquids is to not have any sources of open flame or sparks in the immediate vicinity. Flammable liquids tend to be very volatile, meaning they give off lots of fumes. These fumes are invisible and also flammable. So don't have any Bunsen burners, cigarettes, or sparkable electronics in the area.
Another precaution is to keep the flammable liquids stored in a cool place away from direct sunlight. Warm temperatures cause these liquids to produce more vapors and if the container is sealed then pressure builds up inside and can cause a rupture or even explosion. Even just the heat from direct sunlight can cause dangerous levels of pressure to build up so keep these liquids inside and in the shade.