You get to the center of the city of Chichigalpa by a good road (3 kilometers) that connects it with the Leon-Chinandega highway. In this connection there is always public transportation (caponera and moto-taxis) that will take you to the city. There are frequent buses that make the connection to Chinandega. Some of them also travel to Leon.
The city of Managua is located 130 kilometers away from Chichigalpa. There are direct buses leaving to this city at the Israel Lewites Market. It is also possible make a stopover in Leon, or take a direct bus to Chinandega, get off at the joint near Chichigalpa and take public transportation to this city.