Just depends on which part of Australia you live in. I live within a suburb of an Australian city. Sure there is snake season, but just be careful with the snakes. There are snake catchers out there too.
There is also a fair bit of spiders and flys out there too in Australia. But the most common spiders in my area are Daddy-long-legs aka Cellar spiders. They aren't that dangerous for humans as their fangs are so small that they cannot penetrated us. However, they can be very dangerous for animals, especially flies.
Flies are very annoying too. The further away from the sea, the more likely you'd encounter flies. Summer is the worst when it comes to flies