Tzedakah in Jerusalem

When giving tzedakah in Jerusalem, is there a preference to give residents of the Old City over residents of the New City?

Answers from Igud members: Rav Yosef Serebriansky shlit”a and Rav Tzvi Mauner shlit”a
Answers from others: Rav Chaim Kanievsky shlit”a, Rav Simcha Rabinowitz shlit”a, Rav Pinchas Meyers shlit”a and others

Igud Halacha Challenge Av 5778