Lessons from hurricane induced power outages in a hot climate. In no particular order. Longest power outage experienced was three weeks.
This is not to survive the Apocalypse, just some things that will make live a little easier for those fist couple of weeks.
Simple kerosene storm-lanterns will have to be abused severely before they fail you. Having one storm lantern per person will be a good start. Buy a 5 gallon kerosene can from the home improvement store and get an extra roll of wick that fits your lanterns. Have a yard-party BBQ every year and light all your storm-lanterns. It is fun and gives people in your group the chance to operate, refill, enjoy et cetera. Also highlights potential issues (oops that funnel is too big) with your system before you need them in an emergency. Store these lanterns filled in a well-ventilated area.
Battery powered LED headlamp is worth gold. At least one headlamp per person. Get plenty of extra batteries. Do not store batteries inside you headlamp!
Store 1 tank capacity of your vehicle fuel in 5 gallon jerrycans (NON-CARB), add fuel-stabilizer if needed and rotate each year. Always fuel up your vehicle-tank when 1/2 full. That gives you 1.5 tank of reach with your vehicle, probably somewhere between 700-1000 miles.
Store 1 gallon of drinking-water per person per day (for at least two weeks) in quality 5 gallon containers. Rotate each year. Add 5ml (teaspoon) of regular household bleach (sodium hypochlorite), do not use scented, color safe, or bleaches with added cleaners.
Obviously if you need all that water it is probably a clear sign that the S has severely HTF. Now we're talking hard-core preparations and joining/forming a group of like minded folks that you would trust with your life. Not so easy to find, start, or maintain.