speaking as one who deals with these things on a regular basis, consider that spiders eat smaller insects that you also don't want in the home such as weevils, silverfish,moths, and other spiders. They are actually our friends. They can be found in places that are out of the way and undisturbed such as basements and attics, corners of ceilings and around windows and doors.If you ever look closely at a spider web, you can see little specs that look like poppy seeds on the floor or walls that don't brush away. These are actually "booby traps" planted by spiders to attract other insects into range.
The best way to eliminate them naturally would be to cobwebb (using a cobwebb duster) the areas every other day or so, all the activity discourages them from setting up shop. Also you can make sure all your windows and doors are tightly closed and sealed.
Otherwise you can spray OTC pesticide in the areas you notice them which will discourage the insects, and in turn discourage the spiders.
Depending on where in the country you live, take care that you don't go searching for trouble in a hasty manner. A customer of mine was bitten by a brown recluse here in MD several weeks ago, however she is unsure where this actually happened. Brown recluse spiders have a rather toxic venom which can cause a rather nasty abscess or severe allergic reaction sending you to the hospital. Brown recluse spiders, as with all spiders, make their homes in undisturbed areas outdoors or in, and they don't bite unless they are surprised or threatened ie; a brown recluse may live between a bed and a wall in a room that has no activity.Then smone decides to pull the shets down and climb in bed and, well, you get the idea.
I suggest frequent cobwebbing in your computer desk area and perhaps spraying any corners or baseboards with some OTC pesticide. Keep your cats out of the room while doing so for a day or two.
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