All spiders can bite, but very few have fangs big enough to be even felt my a human, much less hurt.
Thos that can inflict damage do so by their venom which in certain species can cause paralysis and even death.
I also leave spiders alone. i understand that the notion that they come in from the garden and should be returned there, is untrue. House spiders are a different species, and will not survive outside, so should be left alone to travel through the house clearing insects as they go.