there's some interesting neuroscience research about string players and the development of their brains...apparently the area responsible for controlling the left hand enlarges relative to other areas, to reflect the increased demands. so if you began early in life, your left hand may always be more dexterous than your right, at least in certain tasks.
but even then, the task of balancing the hands is always a challenge, and for you as a string player there will also be the challenge of balancing multiple voices, something relatively unique to the piano. but your experience with coaxing a singing tone out of an instrument will prove invaluable, and I assume that you already know quite a bit about musical theory so you won't have to learn that from scratch, something that slows down a great many of new players.
anyway, I suggest you try a range of pieces with different demands of the hands. of course, bach is always good for technical development.

best of luck to you!