I always stay at Adina (if good rate is available - Melbourne is often short of beds during major events). Location is close to Spencer St station for intra-state train travel or skybus transfers. Nearly always get a balcony - which is good for MLB summers.
Have stayed in studio and 1bdr rooms, always spotless, of a good spacious size and well equipped for self-catering. Check-in/out is always simple, quick and efficient. Nice little lounge area (with library) gives it a bit of a hotel feel, as apartment hotels are often a bit sterile.