Next summer I too will be on safari in Kenya and Tanzania. This will be my 7th safari and I have visited K&T before. "Once you get the sands of Africa in your shoes you can never get them out."
In the past, I have traveled with two camera bodies each with a different lens so I'd be ready for most picture taking opportunities. I've also traveled with a Sony mirrorless camera. The body was lighter but I still needed an array of lenses and other stuff. The problem with both scenarios was that when I changed lenses I could not help but get dust in the camera body, and my camera bag was heavy.
Instead, I now travel with a Sony RX 10 IV bridge camera. This model while pricey is state of the art for a bridge camera with a Zeiss 24-600 2.4 lens so I'm ready for almost all situations. The cons are that its pricey and weighs 2.4 pounds, heavier than I would like. I used this camera when on safari for a month in Southern Africa and my travel mates were so impressed that two of them returned home and purchased the camera. Also, friends who enjoyed our images when we returned home also purchased the camera. It sells itself when you view the results.
Most people on safari are either interested or can appreciate others being interested in wanting to get the best pictures possible. If you gently explain that while photographing any movement in the jeep will ruin the result most are happy to cooperate and keep their movements to a minimum while others are photographing.
I first learned of this camera from the pro, Gary Friedman. I took a three day workshop with him and he showed us enlarged pictures taken with his big Canon and very pricey lens and the Sony RX 10 IV and none of us could tell the difference. His go to camera for travel is now the Sony.
Good luck with your decision making and enjoy every moment in K&T.