We are expecting our first baby in the next few months. Could you recommend a specific brand and cot that would best fit the Australian Standards and Red Nose guidelines. Thank you in advance

Red Nose does not recommend any specific brand names of cots.

A safe cot is one that meets the Australian Standard for cots. All new and second-hand cots sold in Australia must meet the current Australian and New Zealand Standard for Cots (AS/NZS 2172:2003) and will carry a label to say so. If you are planning to use a second-hand cot, check that it meets those standards.

Only use a single, firm, mattress that fits snugly (within 20 mm of sides and ends) into the cot. The mattress must be flat (not tilted or elevated). Do not use cot bumpers or soft bedding as these have been associated with fatal sleep accidents

https://rednose.org.au/article/what-is-a-safe-cot

You may also find the following Red Nose sites helpful.
https://rednose.org.au/article/setting-up-a-safe-nursery-what-products-do-you-really-need
https://rednose.org.au/article/baby-safe-sleeping-products
https://rednose.org.au/article/baby-products-you-dont-need