Ancient Chinese philosophy is a rich and varied tapestry of ideas, and, as such, it will always prove challenging to comprehensively answer any question as broad as this one, particularly if there are concerns or prerequisites relating to brevity in the context of your assignment. The golden age of ancient Chinese philosophy is literally known as the Hundred Schools of Thought era.
Having said that, while comprehensiveness and entirety may be unattainable, there are certain ancient Chinese thinkers whom you absolutely must mention, no matter how briefly, in order to produce an answer that is at least credible.
Confucius is perhaps the most famous and well-known ancient Chinese philosopher and is unquestionably a titan of global philosophy in general. His principles relate on many occasions to timeless themes of the human experience, such as family, society, responsibility, traditionalism, morality, and so on. Notable Confucians include Mencius and Cheng Yi.
Taoist philosophers, broadly speaking (something of a risky move when speaking of Taoism), did not share Confucianism's preponderant prioritization of social norms or its overriding interest in more corporeal concerns. Taoism, or Daoism, displayed much more of a marked interest in metaphysical concerns related to the pursuit of oneness with the vicissitudes of existence, the serendipity that governs the universe. Important ancient Taoist philosophers include Laozi, Zhuang Zhao, and Lie Yukou.
We haven't even mentioned Mohism and have barely touched on a fraction of the great thinkers involved, but the above should hopefully give you a solid start.