Yes, you can use vinegar for spider control by mixing an equal amount of vinegar and water in a spray bottle and spraying it on the infested place.
Common species of spiders found in Australia are White-Tailed Spider, Black House Spider, Common House Spider, Daddy Long Legs Spider.
In rarest of cases, spider bite needs medical care.
More than 10,000 species of spiders are found in Australia.
One professional treatment per is required to control the spider in your residence.