This answer is based on the information from the image in the original question, where it is not visible that the bike lane is straight-or-right only. Given that extra information, you should definitely not turn left from A.
Eurgh, such intersections are horrible. Honestly, if this is a busy-traffic time then I'd recommend you don't use the marked bike lanes at all; instead follow two pedestrian crossings and only continue riding after having made it over the intersection this way.
At a calmer time of day, you should probably use A and signal very clearly that you're turning left. What I tend to do is wait for the lights to go green with my arm stretched out, then ride through the intersection keeping the arm stretched out all the time, and only at the very end put it down. Been cut off too often by German drivers to take any risk of the signal being missed. But only try that if you know you can reliably ride, turn and accelerate single-handed.
The advantage of starting at A (beside being marked as cycle lane) is that you will have been waiting in front of the driver on the car lane, who thus has plenty of chance to see and recognize you. That means you have a good chance that at least this one driver behind you will be a bit careful and you can abort the turn by going straight, if something goes wrong – though better don't count on it. Always best to ride assuming you're invisible.
If you start out at C, drivers on both lanes can easily miss you. Drivers on the bus line, because you're not in front of their face, and drivers on the car lane, because you're not in their lane. This can get quite dangerous. The advantage is that you don't need to signal that you're turning left though, so it might still be a better option if you're not comfortable riding with stretched out arm. In this case I'd select a very offensive waiting spot, diagonally to make it as difficult as possible for drivers to overlook you.
B seems the worst option, because that almost guarantees that you'll be cut off by someone. Only way I'd consider it is if you're watching all the traffic, you're prepared to cross the intersection without turning and to wait at the opposite pavement.