Yes there are. They are called TAFE colleges. The courses are usually under the category of vocational.

To find out where nursing is offered, I suggest you to go to Dept of Education, Science and Technology (http://cricos.dest.gov.au) and IDP Education Australia website (www.idp.edu.au). IDP is an organisation that gives information to international students who wants to continue their study in Australia. The information abt fees & requirements can be found in the college’s website. Please make sure that you access the information for international students, since some requirements, application form and fees are different than Australians’.

Once decided on the college, fill in the application form and send it together with certified copy of your academic qualification.

Living cost… Sydney and Canberra have the highest living cost, followed by Melbourne & Brisbane, then Perth, Darwin, Adelaide & Tasmania the lowest. I am attaching a weblink from one of the uni in Melbourne as an indication.

Hope this helps. Good luck for your study and welcome to Australia 🙂