If you want to have a web site you must have a web host!
A domain name needs to be registered with the appropriate Domain Name Authorities. .com domains are easy and can be called anything you like, as long as nobody else has already registered it, but a .com.au domain requires that you to have an Australian Business Number and the domain name you choose must be related to your business.
For example, if your business is "Narooma Fishing Supplies" you can't register an Australian Domain Name called "www.livinginnarooma.com.au".
Web Host
Once you own a domain name you need somewhere to house your web site. Without a web host your domain name would be considered "Parked" and would not be accessible by anyone. Your chosen web host can register your domain name, make the required Domain Name Server entries and host your web site.
What's a Domain Name Server?
Without Domain Name Servers nobody would be able to find your web site. When you type a domain name into your web browser, for example www.naroomawebhosting.com, your browser doesn't understand what that is or where to find it. The web browser then contacts your internet service providers "Name Server" to ask where to find it. Their "Name Server" then asks a "Domain Name Server" upstream of your provider where to find www.naroomawebhosting.com. Eventually an IP address of 58.108.167.143 is returned to you, which is something your browser can understand. There are only 13 Root Name Servers at the top of the tree for the entire internet. Below them there are probably millions of them. We have 5 in total, 2 masters and 4 slaves. Only 1 of them is here in Narooma, the others are in Europe, U.S.A., and the U. K.
Bottom line
If you don't have a web host you don't have a web site!