Zambia is becoming increasingly more popular as a destination for families heading on safari. Destinations such as Livingstone, Lusaka and South Luangwa National Park are the best equipped for those with kids in tow.
For those travelling with a baby or toddler, it's essential to visit a doctor prior to travel to advise on the best course of action regarding vacinnatons and general precautions. Only in the big hotels will you be able to arrange cots, high chairs, baby car seats etc, but you'll need to confirm this before booking. Disposable nappies are available in the major supermarkets, however everything else you're best advised to bring with you. Due to the lack of even surfaced footpaths, prams genererally aren't a practical form of transport.
Though a lot of high-end lodges in the parks do not allow children under 12 years, these days many will specifically accommodate them with activities and facilities set up for kids, and offer lower rates for them. A lot of places offer family rooms or cottages, which are the best option. While it's permissible for children to go on wildlife drives, those aged under 12 aren't allowed on safari walks or canoe trips.
In Lusaka many upmarket cafes and restaurants have play areas for kids, either outside on the grass with swings, slides etc or inside, set up as a soft-play area with toys, such as Kilimanjaro. In some of the larger resort-style lodges you'll also find play equipment, swimming pools and grassy areas for kids to play.
Livingstone has a bunch of outdoor activities for kids, from flying foxes, family-friendly white-water rafting, sunset cruises, scenic flights and steam-train rides.