Many people find making their own furniture fun. You might be one of the fortunate one's who got to choose woodworking as an elective back at high school. Woodworking for many people can mean anything from making one of those wooden tissue boxes to actually making full furniture items such as tables and benches. I remember an old next door neighbour of mine did so well to make a full dart board set out of wood for his year 12 exams, and then successfully completed his apprenticeship in this field.
Catering to beginners and those experienced at woodwork combined, is a non for profit organisation located in Box Hill called the Melbourne School of Fine Woodworking that offers a range of different woodwork courses from furniture making to restoring old antique wood based furniture. Their fees for short courses range from $110-630.
Also in Box Hill you will find the Melbourne Guild of Fine Woodworking where you will find courses that give you the freedom to choose what items you would like to make out of wood for the home or office; to courses where a specific item will be covered such as a chair for instance, and how to make the latter glueless.
Otherwise for details of other private courses, and to share your passion for woodwork with other Melburnians is to go to the Victorian Woodworkers Association website. And there are other forums also worth joining and/or checking out.
If studying woodworking/furniture making at a private establishment is not for you, then consider TAFE, NMIT at Collingwood (a little bit closer to home for those of you who live in the inner suburbs of Melbourne) and even Victoria University offers short courses in woodworking.
Also if you want to take those all important steps in becoming a teacher/trainer/facilitator of woodworking; then engage in the necessary course (ideally at a public institute as per the above), and then ensure you go for your Cert IV in Training and Assessment (TAE40110) which can also be done at TAFE; or get this qualification much faster through a private institute within seven days face-to-face intensive, and you will be able to teach woodworking at institutions such as TAFE, NMIT and other vocational training institutions.