Muirhead was born and raised in Brisbane, where he attended Brisbane State High School, playing for their first XV rugby team. Following school he signed with the South Brisbane Magpies in the Brisbane Premier Rugby competition. He played for the club until 2014. Andy then took up an opportunity to move to New Zealand and play in the ITM cup with Counties Manukau RFU and under head coach, and All Blacks great, Tana Umaga. Muirhead made the move back to Australia in 2015, helping Souths win the Premier Rugby title that year. Following a stellar season he was chosen to play with Brisbane City in the NRC rugby competition. Towards the end of 2016 Muirhead moved to Canberra for an opportunity to train with the ACT Brumbies. In 2017 Andy was rewarded with an opportunity to join their tour of South Africa and Argentina. Debuting off the bench, Andy scored two tries and had a very strong finish to the season. For his efforts he was rewarded a full-time contract with the Brumbies where he remains.
