A male dolphin's member is roughly S-shaped, tapered at the end. If you are in the water with them, it is best to support the dolphin on his side, just under the water, with one hand, and handle him with the other.
Male dolphins, I find, tend to prefer the base of the penis to be gently massaged and squeezed, as well as gently rubbed along it's length. It feels very much like the rest of the dolphin (ie. smooth and rubbery to the touch, but firmer). It doesn't take long for the male to ejaculate, around 40 seconds to a minute, and this is usually accompanied by either shuddering just prior to ejaculating, and thrusting and tail-arching during ejaculation. The force of ejaculation can be powerful at times, so it is best to keep your face out of the line of fire, or keep his member underwater. You can attempt to lick and suck on the end of it while masturbating as well, but be warned, do not try to give full throat, and get the hell out of the way before he ejaculates! A male dolphin could snap your neck in an accidental thrust, and that would be the end of that relationship. Well, the females are again a little trickier. There are two courses of action with a female fin: Masturbation, or mating.
Masturbation: Female dolphins, once they show interest in you, can be supported in much the same way as the male, one hand under the fin, supporting her, the other doing the stimulating. The clitoris of the female is located at the top of the genital slit, and is a prominent lump when erect. You can rub this with your finger tips, or lick and suck it, but with the oral aspect, you might end up with a bruised nose as they thrust up into you. You can slide your hand gently into their genital opening, and feel around inside, rubbing gently. They feel warm and muscular inside, their labia like tough, squishy sponge when they are excited.