The phrase "bringing up" is commonly used to describe the act of introducing a topic or discussing something in a conversation. However, there are many synonyms for this phrase that can help to add variety and interest to your language. For example, you could use the expressions "raising", "mentioning", "broaching", "introducing", or "touching on" in place of "bringing up". Each of these phrases has a slightly different connotation and can be used in different contexts to achieve a particular effect. Ultimately, the choice of synonyms depends on the specific context and the tone or mood you are trying to convey.