Kiryat Moshe is a fairly Dati Leumi neighborhood, Merkaz HaRav (Kook) is located there. It is adjacent to the more Hareidi neiborhood of Givat Shaul. And about a 30 minute walk to Har Nof. I used to live there.
Those 2 hotels are in an excellent location. Right near Ganei geula and Romema, sorotzkin. Centrally located at the entrance to Yerushlayim. You can get anywhere from there easily.
Th lobby is nice, I havent seen the rooms.
Enjoy the Holyland!