Brunswick vet clinic near the corner of Glenlyon and Lyon streets have a cattery in their business. Had my cats boarding there when I was hospitalised. They were great. They call their cattery cats in the city.
Chose the vets because of their strict vaccination policy plus I have nervy cats and wanted a smaller scale operation and gave permission to give my cats Valium if they were too anxious long term. Nice to have vets on hand.