Go to the mechanical room, closet, or space where your furnace, water heater, and other equipment is. This can often be found in the basement, but can also be upstairs in a closet or in the garage. Look around and see if anything is out of place. Utilize your senses -- see if you smell, hear, or see anything different. Thoroughly inspect all the equipment and items there.
Check all the water connections, pipes, toilets, and faucets in your home to make sure they are secure and have no leaks. Go underneath the sinks and look at the water lines to see if any of the pipes are loose and need to be tightened.
Look over your main electrical panel to see if there is any damage to the conduit going to it. Also, check out the electrical outlets, switches, and lines throughout your home for any issues. If you see sparks, broken or frayed wires, or smell something burning, turn off the electricity at the main electrical panel or fuse box and call a licensed electrician.
Lastly, it’s important to know where the main shut-offs are in your home for your gas, water, and electricity in case of an emergency. Take the time to find where those are before there’s an issue. When an emergency happens and you need to shut one of them off, you don't want to be searching for where it is.
Also, teach your kids where the shut-off valves are located and practice shutting them off (at least annually) so that you know they work properly.