You'll enjoy the museums and monuments in Safed Old City. You might want to make time for a stop at Abuhav Synagogue or Ari Ashkenazi Synagogue.
You'll enjoy the mountain views and museums in Artists' Quarter. You might want to make time for a stop at Soul and Art Gallery or Center for Healthy Living in Safed.
If you're spending some time in Safed City Center, Israel Bible Museum and General Exhibition are top sights worth seeing.