I know Hotel Bha Bha Since my childhood and its still running so I can say that its an oldest Hotel of Rajkot. When I was a kid we were lived at Morbi its 60 km far from Rajkot. Every time we came to Rajkot we used to have food at Hotel Bhabha at that time the Banquet hall was very big and sitting were very comfortable. We used to have Gujarati Thali there.
Today many big hotels are opened in Rajkot. And as compare to those big hotels Bhabha is not that much good. Its an average Hotel.
Food is average. Room quality is Ok. If you are looking for medium budget good hotel then you can think of Hotel Bhabha.