Biglouis apart, the chances of any of us being attacked or our houses coming under an attack from a determined house breaker, is incredibly low, not impossible, but highly, highly improbable.
The simple answer is to have a security system. My DH installed a downstairs alarm in our last house and we had a professional whole house alarm installed in this house, incorporating mains powered smoke alarms. We only set it when we leave the house and it is there mainly because, until recently we were away from home a lot.
In nearly 30 years, it did once, just after we had moved in, foil an attempted break-in and it went off during the night, when squirrels got into the loft and bit through the wiring, which ruined a nights sleep.
Twice DS, during the period we signed up to the monitoring service had the fire brigade round when he left sausages on the griddle and forgot about them. After that we discontinued the monitoring. But all that was in the frst 5 years. Nothing in the ensuing 25 years.
You have far more chance of being injured in a road accident. Does that stop you going outside or, if you can drive, doing so?
I have had a sister killed in a road accident and DD left with a disabled right arm after another road accident. I also saw my landlady killed in an accident when she was hit when crossing the road, including being a witness at the ensuing trial. It made me a little nervous when learning to drive but I had a good instructor and have been driving for nearly 50 years, happily and confidently in all traffic conditions.
Fear can cripple your life,if you let it. I do not let it.