Most visitors come to Zambia for a safari or to visit Victoria Falls, so much accommodation is based around safari camps, lodges and, to some extent in the Falls region, luxury hotels.
Another option that attracts many families, especially two families holidaying together, is safari houses or small lodges, usually with 2/4 bedrooms, with their own guide and chef. Tangala House (tangala.com) is an excellent example; situated on the banks of the Zambezi, it has four bedrooms, a children's playroom plus a swimming pool.
Larger lodges and camps are also popular for family holidays, mixing the services and comfort of a hotel with the traditional African trappings of a smaller lodge or camp. The Royal Zambezi Lodge (royalzambezilodge.com) has traditionally thatched tents, many of which overlook the Zambezi and all of which are only moments from the Lower Zambezi National Park.
Alternatively, the Kasaka River Lodge (kasakariverlodge.com), a family-friendly safari lodge on the banks of the Zambezi, has the family Hippo Pod with its own private deck and access to the pool, plus a Bush Kids program that includes a safari aimed at children. Other activities to keep little ones happy include African art and craft lessons and fishing for tigerfish.
If you're planning to visit the leopards in South Luangwa National Park, Robin's House (robinpopesafaris.net), purpose-built for family safaris, offers child-friendly game drives and flexible accommodation.