Nairobi

Nairobi needs 2 days: Nairobi National Park (the only safari park within a capital city's limits in the world) on one, and the David Sheldrick Elephant Orphanage on the other. June-October is the dry season, ideal for wildlife viewing. It's cheaper than other East African capitals for tourists, with good hotel options across all budgets. It's the only capital in the world where you can see lions and giraffes with a skyscraper skyline in the background, something that sets it apart from any other city on the planet.