Personal training for swimmers

I am considering getting some personal training sessions this spring but I'm not sure what sort of training would be most beneficial. I've been working on improving my core strength and I think that helped. My focus events are distance freestyle and backstroke but I would like to improve my short-axis strokes. I have pretty good uppper body strength already and don't want to bulk up. I can tell that my left knee is weaker than my right and my breaststroke kick is imbalanced. Ideally I would like to improve my SDKs and power off starts and walls. And, of course, I'd like to look better in my bathing suit. :D Recommendations?