There are a number of synonyms for the phrase "go about," all of which convey similar meanings. For example, one might use the term "undertake," which suggests a sense of purpose and determination in one's actions. Or, one could opt for "proceed," which has a more neutral connotation and implies a step-by-step approach to completing a task. Other options might include "navigate," "manage," "carry out," or "accomplish," each of which suggests a slightly different nuance or tone of action. Ultimately, the choice of synonym will depend on the context and tone of the sentence, as well as the specific connotation one wishes to convey.