The gym staff ought to be able to advise you on what weights/reps/sets to do to achieve your desired results. They may also be able to explain the bi/tri difference on free and fixed weights.
I think 3x15 seems to be a fairly standard routine and seem to remember one of the trainers at my local gym saying that the weight should be such that you can feel the effort at the end of the first set but not so much that you can't complete the three sets. If 3 sets are easy increase the weight if you can't do 3 sets, decrease the weight. Having said that, I absolutely cannot do shoulder presses (extending arm vertically from shoulder to overhead) even at lowest possible weight I can only manage a total of about 2x12 no matter how hard or often I try!