To transfer your domain to Aussie Hosts you need to obtain your EPP code or for .au domains your domain password.
To obtain your EPP code for .com / .net etc you need to ask your registrar to provide it. Many offer the EPP code in there online portal.
For .au domains you can however recover your domain password at the AusRegistry Domain Recovery page.
Once you have your EPP code you can go to our Domain Transfer section and enter your details. Its free to transfer a .au domain, for all other domains a renewal is required on transfer so there is a normal renewal fee required to transfer. You don’t lose any time, 12 months is simply added to the registration.