A lightweight down jacket is ideal for the extreme weather shifts one is likely to encounter in the African bush. Though the days can be sweltering, the nights are often chilly. A lightweight jacket that is amply warm and compressible will keep you warm in the evening and early morning but will shed easily and can be compacted down enough to fit into you day-pack.
A sturdy, wide-brimmed hat is essential for long days in the sun. A simple baseball cap will not suffice in these conditions. You will need something that provides coverage for your neck and ears, as well as eyes, so an actual canvas safari hat is best. The material allows it to be crushed and stuffed into a bag or back pocket when it's not needed, the brim extends over the ears providing optimal shade and many safari hats come with a cord that you can secure under your chin in windy climates to ensure it stays atop your head. After all, it's not called a safari hat for no reason.
There is no substitute for wool socks on safari. Tromping through foreign terrain can wear on your extremities, but wool provides both the padding and warmth required to keep those tootsies in working order. Be sure that your socks and the rest of your clothing items are beige and nude colors. Not only do you want to blend into the environment while trying to spy the wildlife, but bright colors may attract unwanted attention. Blue, in particular, will garner the attention of tsetse flies that are wont to nibbling on tourists.
A smartphone with a good camera should be at the top of your list (or at least immediately under "passports"). Lugging around an additional item like a camera is unnecessary if you find a phone that comes equipped with a good one. The LG G5 has a 16MP dual camera with both normal and ultra wide-angle lens ideal for capturing the wild game and picturesque landscapes you'll find on safari.
For on the spot sanitary needs, antibacterial baby wipes reign supreme. Germ-fighting and disposable, you will find 101 uses for these while on the trail and a whole host of things that you never realized would need cleaning. Saline solution is another multipurpose item you may overlook as you pack. Not only is it good for rinsing your hands and eyes, it's perfect for flushing your nasal passages after a long and dusty tour of the bush. You would be surprised what can get stuck in there, and trying to keep up with clogged sinuses can be miserable.
Though a family safari is the chance of a lifetime, if you don't pack smart, it can also be a disaster. Pack for comfort, sanitation and mobility and you and your family are sure to make the most of your trip.