Admission is 30 liras per adult. It's not a particularly large exposition, but why not visit at the same time after the ethnographic museum. A decent toilet.
I believe this is one of Antalya's private museums. Not bad, but very small, located in the Old Town. The exposition conveys the way of life of old Turkey, interesting for the general development, but no more. I did not see anything special among the museum exhibits, maybe I was inattentive, or maybe there is none. You should set 15 minutes for the visit, there is nothing else to do here. As part of a historical walk along Kaleichi, it will do.