Have your furnace inspected and serviced by a qualified professional.
Have your chimney and vents cleaned and inspected by a qualified professional.
Make sure your wood for your fireplace is dry and seasoned.
Check to see if your fireplace screen or heat tempered glass is in good condition and securely in position.
Keep a covered metal container ready to use for disposal of cooled ashes (Keep this at least 10 feet from your home).
Inform children to stay 3 feet away from the fireplace or wood stove.
Make sure that space heaters have an automatic shut off.
Make sure to have space heaters directly plugged into an outlet (Do not use an extension cord) and place them at least 3 feet from anything that can burn.
