If it's any help, we've been here since April and haven't found any spiders in our bed!! Have seen 1 redback (just squished him they're small) and 3 huntsmen. Two got sprayed (as soon as you spray them they freeze - and don't run off like I was worried about) - and the other was on the car wing mirror and my husband kicked it off and stamped on it. (Sorry animal lovers)
Honestly, you'll be fine, please don't worry. I have firneds who have lived in Oz for 7 years and only seen 2 spiders.
Don't give up yet!! :)