To cover, or to conceal
I often talk about not setting up bright lights facing toward your home, rather than facing outwards toward exterior walls, as that can be a great form of concealment for criminals scouting your home. Just as much as you cannot see a person from behind a flashlight during night time. The same concept applies. See this post to read about lighting up your yard.
Two dead giveaways exploit you from behind concealment: Noise and motion, Heavy breathing is very audible, and shaking from fear tends to shake and rattle lighter concealment, like curtains for example.
Good cover is not that easy to find, especially when you are inside a building. So for this reason, you will need to utilize the concealment you have access to and move unnoticed to a place with decent cover, or to escape the threat. So if you're thinking about adding some decent cover to your home defense plan, I would suggest adding some bulletproof vest or blanket of some sorts in your safe room. If you do not have a safe room, I suggest you make one! However, adding some simple pieces of furniture, filled with something like solid wood, cement, or plating.
For more on home defense, read here.