Badi's place is great if you go visiting Melbourne for the first.
The place is pretty central, only a couple of minutes away from all the cool restaurants and bars of Fitzroy and with very good access as you have the tram lines in the same road.
I went there by the end of April and it can get a bit cold at night. We didn't have a heater or extra blankets available but I am sure he can sort you out if you tell him in advance.
I would definitely go back to his place next time I am visiting Melbourne.