Keeping smoke out of the kitchen and contained is the job of the range hood. But before smoke is expelled outside it must pass through a filter and ductwork. The filter prevents grease from building up in the ducts.
Replace charcoal filters at least once a year. You may need to replace them more often if you cook often or it is a cheap filter.
Depending on the frequency of cooking, clean mesh filters at least every couple months. Remove all filters from the hood and place them in a bath of water and liquid dish detergent to soak overnight. Rinse off the next day with hot water.
While the filters are removed, clean the interior surface of the hood. Use a homemade general purpose cleaner and a rag.