http://www.leopackersandmovers.com/
I moved my luggage from Bangakore to Hyderabad this Jan 2015. And I felt very good with their service.
They charge more (being premium service provider) and their service quality is also good. Found very minimal damages which can be expected from any of the Number 1 packers in the city. I have no regrets for the damages.
I would like to recommend people to choose them if they want a quality service without much worry on budget. There are packers like Agarwals (branded guys like this Leo) will charge more money than this Leo.