The story of Moses begins in the book of Exodus, which is the second book of the Old Testament of the Bible. Specifically, chapter 1 of Exodus offers important background about the children of Israel in Egypt. After Joseph dies, a new king arises who makes the children of Israel slaves and forces them to build cities. The Egyptian king then orders the midwives of Israel to kill all the male babies born to Israelite women.
Within this context, the particular story of Moses begins in Exodus chapter 2. Verse 1 introduces the parents of Moses, and Moses is born in verse 2. The rest of Exodus tells how Moses is hid by his parents, grows up in Pharaoh's household, kills an Egyptian, and has to flee Egypt. In the wilderness, God speaks to him. He returns and frees his people, leads them into the wilderness of Sinai, receives God's law, and oversees the construction of a tabernacle in God's honor.
The next book is Leviticus. This is indirectly part of the story of Moses. However, it mainly consists of more details of the laws that God has given to the Israelites through Moses. For instance, it describes how to use the tabernacle, what animals are unclean and what animals they can eat, and a long list of rewards for obedience and punishments for disobedience to God's laws.
The next book, the book of Numbers, begins with the counting of the children of Israel according to their families. God provides further detail concerning worship and also how the Israelites should travel from one location to another. In this book, starting with chapter 10, they continue their journey led by Moses, murmur about their situation, and because of their complaints are punished by having to wander in the desert wilderness for 40 years. The older generation dies, and the new generation prepares to enter the Promised Land.
The fifth book of the Bible, Deuteronomy, is an address by Moses to the Israelites just before they cross Jordan into the Promised Land. Moses repeats much of the law and exhorts them to have courage. The death of Moses is described in chapter 34, the last chapter of Deuteronomy.