We have a Facebook page for the martial art school I teach at and do kickboxing classes. We post events and school news, pics of various events, videos of classes, and students can do the same.
I work in corporate fitness and at the moment we have a Facebook page (Pitney Bowes Project Living) set up to share healthy living tips from experts on nutrition, keeping fit, becoming tobacco free, emotional & financial health helping employees & family members to be healthy & live well.
I suggest if you are a PT with a following that you have a separate page aside from your personal.
With Google+ you can have separate circles for different groups of people and choose what to share.