Hi Shantel, I’m in Australia also
Previously I had an indoor rabbit who I used to let outside, however either last year or the year before there were several outbreaks of myxo and also the RHDV2 virus (new strain of calicivirus which the vaccine doesn’t cover). As a result I decided to keep my buns indoors from then on as a precaution. As suggested, if you choose to let bun outdoors there are a number of precautions you can take, the main one being that you let bun outside in a pen or run that is completely covered with flyscreen/mosquito netting. This is the most effective way of simply preventing the most common mode of transition. Apart from that, you can plant insect repelling plants (outside of bun’s reach as most are toxic) as a way to reduce fly and mosquito numbers and also use fly/mosquito traps or bug zappers outside while your bun is out playing. (Don’t use the sticky paper traps as the stuck insects can attract birds which can get stuck on the paper also).
Additionally, morning and evening are the most common time for mosquitoes so it can be better to avoid these times, however that being said, avoiding that time often leaves you in the heat of the day which can be dangerous to buns, and often flies are more active in the heat of the day than morning and evening. If I had to choose, if the weather was suitable I would avoid the main mosquito times use late morning or early afternoon (weather permitting). Also do what you can to avoid increasing the mosquito population. Make sure you don’t have any standing water in your yard where mosquitoes like to breed. If you have a bird bath or similar make sure you empty it and replace with fresh water daily, empty buckets or any other containers that may be holding water.
I hope that helps 