Actually tricky the various front line staff in each states DPI have not taken their eye off H5N1 at all. Last I heard every dead bird that is reported in QLD gets tested so there will be a warning if it gets here this winter.
If you are really that worried it is easy enough to buy tamiflu online for about $50 (try emedical.com.au). There is already a strain that is tamiflu resistant though so it isn't a 100% guarantee but the best I know of fwiw.