"Toots one's own horn" is a colloquial expression that refers to the act of boasting or bragging about one's accomplishments or abilities. There are several synonyms that can be used to convey the same idea, such as "pat oneself on the back," "blow one's own trumpet," "flatter oneself," "show off," "brag," "advertise," or "tout." These phrases are often used negatively, implying that the speaker is being egotistical or arrogant. It is important to strike a balance between confidence and modesty when discussing one's achievements, as excessive self-promotion can alienate others and damage one's reputation.