I use a guy in Melbourne called Sam - 0470 261 909. Works the same way that Jimmy does - text the night before, text on landing, text when walking out and will be told my taxi number and go to the pick up area (not as convenient for Virgin arrivals). He uses a network of drivers - all silver service.
Cars are immaculate, water provided and never late for pick ups for the return flight.
Can’t recommend him enough - been using him for quite a few years now. Was from a colleague and I’ve since referred others to him too.