What is the legitimate Islamic way to dispose of "hijabs" (amulets/charms), "huruz" (talismans), or "tama'im" (amulets) that were found with the deceased, knowing that he used them for healing and protection from sorcery and the evil eye, and he believed that healing is in the hands of Allah, and he might have abandoned them in his final years?

The mere fact that some papers are illegible does not make them forbidden, especially given your testimony to your father's righteousness, his observance of prayers, and his belief that healing is in the hands of Allah. If there were any Shariah prohibitions in them, we hope that he repented from them, and we ask Allah for His forgiveness for him.

Amulets (tama'im) are what are hung to ward off the evil eye and magic. They are called such because their wearers believe they perfect their affairs. Wearing them is forbidden because it resembles the practices of the pre-Islamic era of ignorance (Jahiliyyah). If one believes that they bring benefit or harm apart from Allah, then it is major polytheism (shirk akbar). The proof of their prohibition is the Prophet's (peace and blessings be upon him) saying: "Indeed, incantations, amulets, and love charms are polytheism." As for an amulet made from the Qur'an, the correct view is that it is not permissible to wear it.