Both Abrahil and Tiberius were responsible for the rearing of the young prince. Abrahil taking on the more practical matters, often what the boy would find far more "fun", such as horse riding and sword fighting. While Tiberius had the displeasure of trying to tame the wild creature after his play, to sit and pay attention to the intricacies of history, and politics. Admittedly it wasn't all that hard, as the boy did have a surprising interest in the matters even if he'd rather be learning them outside.
Neither Tiberius nor Abrahil lacked in understanding of there others respective responsibilities, they were only separated in that Tiberius was incredibly familiar with the hands on dealings of the high court of Jerusalem and its factions, and so could best prepare Baldwin for such. While Abrahil was familiar with the deterioration of the body of a leper. How one must prepare, move, and change in his everyday doings to accommodate particularly for one so young, one who must become familiar with his movements quickly, while he could still feel them.
While their task was overwhelming at times the two old bastards could often find solace in there shared burden, even when such torment often found itself originating from one or the other.