You will get fairly close to a lot of the wildlife, but a good 35 mm camera with a 75-300 zoom lens will certainly help you take some great shots. It is always best to buy your film before you travel, because film here is expensive and not as fresh. 100 – 200 ASA is a good speed for general photography here. Though it can get bright, you might want to be able to get some action shots and the higher speed film will be helpful. Some people also like to use 400 ASA for fast moving animals and evening shots. A beanbag is much better than a tripod for photos from the safari vehicle which has a pop-up or removable roof to make photography easier. A cable release is useful to get shots without camera motion. Also, a flash can help with indoor and campfire shots. Remember to bring extra batteries for your camera equipment. Most people find they take 2 to 3 rolls of film per day whilst on safari.
If you bring a video camera, don’t forget the tapes (very expensive here) and the recharging accessories. You can generally recharge the camera at lodges and from the vehicle.