If you have time to wander along Rothchild Blvd and the downtown area, there are dozens of small art museums that are so fantastic. Many are free. The owners/managers are eager to show you the works. I am not much of an art fan but on my last trip, visited several smaller galleries and just loved it. Wish I could remember all the names. Some were experiential art, others modern art, sculpture or more traditional art.
One location was the Leumi Visitors Centre and Art Gallery located in Mani House a historic building from 1910, typical of early Tel Aviv. Also worth visiting is the Shalom tower which has a history of Tel Aviv through mosaics, a model and photographic displays. Beit Ha'Ir is a fascinating look at the history of Tel Aviv with Dizengoff's office as it was including a very early map, before Neve Tzedek was part of Tel Aviv.