Unless you're a well-seasoned traveler, a safari may be your best option. Tours companies specializing in animal sighting can arrange transportation and lodging with minimal hassle. Despite the number of tourists that visit Africa annually, many countries are still underdeveloped and may be dangerous to the inexperienced tourist.
A visa may be necessary to travel to some of these African countries. They are usually easy to obtain at the respective embassies.
Yellow fever and malaria are common in Africa, even in tourist areas surrounding the parks. Adequate vaccination is not only necessary to preserve your health, it is also mandatory in order to enter some countries, including Kenya.
The proximity to the Equator line makes for hot, dry weather all summer long. Sunburn is possible even in overcastted days and should be treated seriously.