I am right-handed and always used to just breathe to the right.
Now with bilateral breathing I always start with the right arm and I
also hate hitting the wall with my left hand so will cut the stroke short
to avoid it. I am trying to change this.
In open water am much more inclined to breathe to one side only,
preferably the right but to the left to avoid the sun or see the bank etc. it is
much harder and less natural to the left.