A preferable scenario would be to remain where you already are and live and "Shelter in Place", however that may not be possible and the situation may very well dictate that you must evacuate to a safer location. Depending upon the nature of the crisis will determine where exactly you will evacuate to. There are many things to consider which will have a direct and indirect effect upon your survival through a crisis. Since none of us will know what the nature of the crissis will be, you should be as prepaired for whatever you could be faced with.
If at all possible you should already have within your possession, maps of your city or region as well as maps of your state and possibly even maps of the surrounding states. I have maps of all states as well as the provinces of Canada.
The actual evacuation by vehilce of course would be higlhly desireed but you may find the expressways and main roads to be obstructed by everyone else who is trying to evacuate to "safer ground". Therefore try to study the alternate routes, secondary roads which will be less travelled. Prepare now and become familiar with these alternate routes. I would try to get in the habit of always keeping your vehicle toped off with fuel and having at least 4 five gallon fuel cans full and in the garage at all times. You can easily rotate the spare / emergency fuel and refill these cans often. The point is to remember that when a crisis may strike always remember that the fuel stations may very well not be open or electricity may be knocked out and you will be unable to purchases fuel.
In my truck I have a air pump that is equiped with a fuel pump. I can insert one end of a long hose into either a service station underground fuel tank or into another vehilce and start the pump and transfer fuel into my vehicle. The motor and pump for this unit is small and it's only purpose if for emergencies such as I have described above. You can also easily fabricate a manual fuel pump that will serve for such occassions.
I generally keep 30 gallons of spare fuel in five gallon cans in the garage to be loaded in my truck, should I have to evacuate, I suppose that fuel plus what I have in my full tank will get me 500-600 miles, plus I will have enough fuel to run a camping stove for a while.
The bottom line of course is "be prepared" for anything you can think of including a spare tire, spare belts, oil, filters, make sure you have a tire jack and anything else. A little money spent now and you may later be very grateful you spent the money and time, otherwsie you may be evacuating on foot or run out of fuel before reaching a safe destination.