The phrase "started in on" is often used to describe the beginning of an action or behavior. Synonyms for this phrase can range from simple and straightforward to more complex and nuanced. Some potential substitutes for "started in on" might include "began to work on," "initiated," "commenced," "launched into," or "dove into." Other synonyms could include "engaged with," "undertook," "embarked upon," "set about," or "started up." Ultimately, the choice of synonym will depend on the context in which the phrase is being used and the specific connotations or shades of meaning that the speaker wishes to convey.