With your car, you should at least have third party coverage. If the car has any value, driving the Kenyan roads, you should consider getting a comprehensive insurance. Most companies will give you a discount if you have an alarm system or a mul-T-Lock installed. Some companies will also give you a discount on your personal car, if they are covering the cars of your company.
It is not recommended to go to ANY small insurance broker in the telephone book. Some insurance companies have a reputation of doing all they can to NOT pay the insurance amount.
Through Automobile Association of Kenya it is possible to get assistance (24h). See the AAK website for details.