Hi there,
I have a couple of recommendations:
- The Jerusalem Panorama Hotel which is located on the hill of Gethsemane and offers views over the old city. This hotel is family run and most rooms can accommodate up to 4 people. Prices start at around $55 per night.
- The Addar Hotel which is also family run and located withing 5 minutes walk from the old city and
Jerusalem main attractions. Prices start at around $100.
Hope this helps
Vacationbuddy