"Bruiting about" is a phrase commonly used to describe the spreading of rumors, gossip, or information, especially in a public or boastful manner. While it is a powerful phrase, it is sometimes necessary to vary one's language when writing or speaking on the topic. Some synonyms that can be used in place of "bruiting about" include "circulating," "spreading," "disseminating," "publicizing," "promoting," and "touting." Each of these words can be used to describe the intentional and often strategic sharing of information. Of course, the right synonym will depend on the context, tone, and purpose of the communication in question.