The closest mikveh is at 37 Chayyim Vital St., 02-6521577. Please note, however, that this mikveh is kept to Israeli standards and services many women a night, so it is best to arrive on the early side, when it is at its cleanest and less crowded.
If you're open to venturing further afield, the mikveh in Rehavia was recently renovated: 5 Ha'Ari, 02-5632783.
Please write back with any further questions.