The garden in the back is lovely, and the terrace at the top of the museum has nice views of the city! Plus they’re open on Saturdays, and you can sit on Kikar Bialik by the fountain. What’s not to love? :)
The pastries are tasty, and (some of) the prices are regulated, so tea is only 5₪.
A delightful bakery and cafe located in the old City Hall with a beautiful garden that offers shaded seating. The pastries are all incredible - the anchovy burekas is excellent and served with olives and spicy relish; we also loved the blueberry and cream cheese danishes and rugelach. Good coffee too as can be expected in Tel Aviv. You can combine this with a visit to one of several little museums in the nearby streets.