Yes, there’s no problem with taking outdoor items to Australia. To avoid additional border costs and delays all your outdoor items must be thoroughly cleaned. This includes anything that has been in contact with the outdoors. Mud and dirt on bikes, garden tools, golf clubs, garden furniture, sports equipment, outdoor shoes, and children’s play equipment, amongst others.
We recommend you wash everything with soapy water and then disinfectant. If you are taking a toolbox, the same applies to each item. Lawn mowers and anything with fuel must be cleaned and also drained of fuel. Your vacuum cleaner should be thoroughly cleaned and the bag disposed of, prior to shipping.