We have just returned from an excellent holiday in Biala. The house is beautiful, well-located, and was perfect for our needs. Our party included a 6 month old baby, and there were no problems in that regard either (the owners had even located a cot for her to sleep in).
The owners are a wonderful couple who were exremely welcoming and friendly. Biala is a small uncrowded village, with very noce big empty sandy beaches, within easy reach of the villa. It's close to the bigger resort of Obzor. Having driven around the coast a little on our stay, I believe we were staying in the nicest part of the Bulgarian Black Sea Coast. I would recommend this place to anyone - we are already planning how to go back next year.