Have an escape plan! Draw up a 'map' of your home and talk to your kids about how to get out if there is a fire and where to meet up.
Check your smoke detectors on a regular basis. Have a day of the month where you go through and check them. It doesn't take long and you'll appreciate it!
Make sure you have insurance! Even if you are renting there are plans to protect you family in case of a fire! No one wants to start from scratch!
Never leave candles unattended!!!
Get a fire extinguisher and know how to use it! If you have older children, teach them as well! The small ones are around $20. Just remember, it's an investment!
Be mindful of the stove/oven. Be sure not to leave anything unattended. I'm gonna be honest and say I'm guilty of this one, so now I try to find something to do when baking to keep me close by. Sometimes, I sit on the counter and read. :D If you can't do that, then at the very least set some timers so that you don't run off and forget it!
Below are some resources that may help you:
Fire Prevention and Safety Checklist, Red Cross
Fire Drill Checklist
Rural Prevention Checklist
Free Home Inventory Software
Home Inventory Checklist
What does your family do to be prepared???