There are a number of airlines that provide flights from Australia to Bali.
We recommend Garuda who are a full service 5 star airline with 30kg luggage allowance and meals included. Garuda flight direct from Australia nearly every day.
Did you know that Garuda recently won the best cabin crew from the Skytrax awards? Garuda Indonesia also achieved significant success securing the top prize of World’s Best Cabin Staff for the third straight year. Please refer to the link below.
Alternately, you may want to consider Jetstar, but please be mindful that additional charges for luggage, meals, entertainment may apply. Jetstar may also cancel flights at short notice which may affect your surgery/dental procedure date and result in additional costs for extra accommodation and change of return flights.