That's literally what a phobia is.

You have one.

Maybe not a completely debilitating one, but you do have one if this is your reaction to them. There are different levels of phobia, and yours sounds pretty standard. It's not extreme, but not minor either.

It is good to understand that phobias can't be overcome by rationalizing them in most cases.

I don't have a phobia of spiders, but have managed to successfully deal with a mild spider infestation for someone I know that does.

Lavender, mint, eucalyptus, and citronella are all plants with strong smells that spiders don’t like. If you can grow these outside of your home near to entrances and windows, do so.

Controlling spiders outside of your home can help control them inside as well. Don't go overboard and try to nuke your entire yard, it's bad for your yard to be completely rid of them. Just control them near entrance points.

These plants also work in pots, put them by windows or doors if you can grow them in places like that. They do need to be watered and have enough sunlight. A porch is also a good place for this sort of pest control.

Sprays that have these scents can also repel them, but don't last very long.

Put Diatomaceous Earth around doorframes and window sills, under appliances, and in other crevices. Spiders have to get in somehow, and this stuff will kill them [and other types of pests as well]. It is also pet safe when used this way, but don't apply it directly on them to get rid of fleas or ticks.

If you have a basement, put it around any potential entrance point down there as well. Be pretty liberal with the stuff when it is out of sight.

You can also buy spray stuff that will kill them for quite a while when applied to surfaces like windows. This stuff is toxic though so don't apply it in areas your pets like to be if you have them or overdo it, just out of the way potential entrance points that are difficult for you to access regularly.

A good spot for this kind of stuff is around the edge of an attic entrance of the sort you pull down, in the back of cupboards under the sink around drains, or behind large furniture in spaces too narrow for a pet to access.

It's not terribly difficult to de-spider your house for the most part if it's not a major infestation. If it is, you should probably call an exterminator, let them deal with it, and apply what I suggested as a preventative after the fact.

Diatomaceous Earth is probably the most effective long term solution I mentioned, but will need to be reapplied on occasion, especially in high traffic areas like around a front door.