That would freak me out.
I assume you mean the Red Back, Funnel Web and not sure of the third? Not sure about funnel web either do they bite?( , Sat 18 Feb 2012, 13:49, archived)
Funnelwebs are the only ones to really worry about.
They can mess you up pretty bad, but luckily you rarely see them. However, the first many people do see of them is when shaking the bedsheets out. Redbacks are usualy merely very painful unless you're allergic to them. White-tailed SPiders (the third one) are bloody painful (the pain can also last for a year) and sometimes an opportunistic infection can follow that results in serious necrosis around the wound. We've had Redbacks and White-taileds in the house and I saw a Sydney Funnelweb walking about in town on a very rainy night (it flushes them out of thir burrows).( , Sat 18 Feb 2012, 13:53, archived)
I don't suffer with arachnophobia but that's probably because I live in the safety of Britain
and well away from the really nasty ones. Those three would probably freak me out though especially finding spiders in your bedding.( , Sat 18 Feb 2012, 14:00, archived)