Many Jewish people had to relocate after the First Crusade primarily due to increased violence against them, particularly in the form of massacres and persecution fueled by the religious fervor of the Crusaders. As the Crusaders moved through Europe towards the Holy Land, their journey often involved attacks on Jewish communities, with many Crusaders viewing Jews as heretics or infidels.
In various cities, Jewish communities faced violent pogroms, and as a result, many were forced to flee their homes to escape the violence. Additionally, in some cases, Jewish leaders were coerced into converting to Christianity or faced severe reprisals.
While one can also note that the Crusaders captured Jerusalem in 1099, which resulted in significant loss and upheaval for Jews in that city, the broader context of violence and persecution in Europe is the core reason for the mass displacement of Jewish populations following the First Crusade.
Therefore, the most accurate answer is that violence against Jewish people increased and continued during this period.