The name says 'family', but this is not really a family museum, where you will bring children. Currently, the museum is in two parts, and the one relating to Disney animals could be of interest to some children. They had some activities, such as coloring a prepared drawing that might keep a kid happy. Children might react to the various Disney animal characters they have seen in movies or on the TV.
But....this is really an adult museum in two parts. The animals are familiar to almost everyone, and the points of interest are how they portrayed the characters and how they animated them. The main museum is a totally comprehensive analysis of the Disney family, focusing on its origins, on Walt, and on the accomplishments of Walt, his relations, the studio, and others. There are some 15 exhibition rooms, not counting the space devoted to the animals. We allocated around 3 hrs total, and we had to cut our visit short. Likely we could have spent 5 hrs overall, given the huge amount of material.
Also, this is a museum that relates what Disney and his studio did to society at large. Some painful issues were developed (the strike in the early 50's, the studio's relationship to the HUAC) more than others (almost nothing abut Song of the South). You come away from this experience realizing that Disney was the right person in the right place at the right time to make and to take advantage of some of the best technology of the 20th century and, in some senses, to shape our society as a whole. One comes away amazed at just how much the Disney 'system' has affected our lives.