If you are going from Yerusholayim to Tzefas, bear in mind that this route is now served by Egged #982 via Route 6, and not along the Jordan River, so is much quicker than it used to be in the olden days.
But be sure to spend plenty time in the Jewish Quarter. Whilst there, you may also wish to book a tour of the rebuilt Churva Shul. We took a tour of the Churva Shul on Purim morning, and returned to the Churva Shul on Shushan Purim morning for Esther Reading.
Bear in mind that Zechariah haNovi is also buried on Har hZeisim.