Part of any injury is bad luck. People have torn biceps with warm up weight, adn my training partner herniated two discs picking up a 30lb sump pump.
That being said, the old adage is that tendons and ligaments, having a comparatively poor blood supply (compared ot muscle) adapt slower than does muscle. So how do you get them to adapt? Eh, if youre really worried about it i'd suggest curls, followed by cheat curls, just to build up the amount of weight that your biceps (and beiceps tendons) are used to throwing around