There is also the possibility of going in train but the bad train location in Jerusalem (west of Heil Hahandassah) disables this option.
Both buses and Sheriffs will leave you at the central bus station in Tel Aviv. It's huge. If you go to the center you have a walk of about 30 minutes on the streets Levinsky, Ha Aliya and finally Allenby.
On the other hand, if you choose the city bus, the numbers 4 and 5 will leave you in the center. They leave the fourth floor from platforms 417 and 418 respectively. The journey is short and the daily bus ticket in Tel Aviv leaves for 5.50 shequels.5.002