It is permissible for you
to change the name from David Tyler to Dawud Yusuf. The Prophet (peace be upon him) changed the name of some Sahabah (Companions of the Prophet). He changed the name of
Abu Al-Hakam to
Abu Shurayh as in the Hadith related by
Abu Dawud. Furthermore, he changed the name of a man from Hazan to Sahl, and changed the name of
Juwayriyah. (Related in
Muslim) May Allah grant us success. May peace and blessings be upon our Prophet Muhammad, his family, and Companions.