Bodily fluid collection systems are described where the system may be used for collecting and transferring sperm into a syringe. The syringe is configured to have a distal collection tip which is gently tapered or radiused to present a smooth and atraumatic surface and which is specifically configured and shaped to be inserted within and received by the collection receptacle. The distal collection tip has a shape which corresponds directly to a tapered reservoir defined at the bottom of the collection receptacle such that a distal opening defined through the tip is optimally positioned within the concentrated bodily fluid pooled within the reservoir for collection. Moreover, the gentle taper of the collection tip may present an atraumatic surface for inhibiting damage to the sperm contained within the ejaculate as the sperm is suctioned into the distal opening for insemination into the female.