I've had a bit of a running battle with these b**tard things the last year.
Moved into a new house late 2019, and discovered one in a trellis at the back of the house, which was unnerving.
However, further investigation found them all over the back of the house, mainly between the gutters of our single story extension. Queue increasing panic
We called around for a few pet controllers, but not many treat for spiders. We did find a good guy, who on inspection said ideally he wouldn't spray and we should live with them as they are part of the ecosystem. However, he was fine to do so if we wanted, which we did
He sprayed using Bayer k- orthrine partix and went top to bottom on the outside of the house and garden.
You should have seen the buggers. Dozens dropped like fly's. As he left he said we'd done the right thing getting them sprayed
The advice he gave was good. Recognise and brush away all their webs; keep plants and folage away from doors and windows; keep your house today and clean; don't leave boxes and junk lying about.
I also now buy regularly from Amazon this spider spray and apply regularly to window and door frames, gutters and places where I saw them last year. I'm tempted to buy the Bayer stuff but have been unsure if there are restrictions on purchasing and use by a non professional ( it was a simple mix with water and application with sprayer)
So far this year, touch wood, it has kept them away bar the odd one from the bushes. The test will be later in the year towards spider season
Good luck with your battle!