When it comes to finding synonyms for the phrase "set about," there are quite a few options to choose from. Some alternatives include "embark on," "start," "commence," "undertake," "begin," and "initiate." Each of these words effectively conveys a sense of starting or beginning a task or activity. In some cases, the specific connotation of the word may vary slightly. For example, "commence" might be seen as a more formal or official beginning, while "undertake" suggests taking on a challenging or important task. Ultimately, depending on the context of the sentence and the intended meaning, there are numerous potential synonyms for "set about" that could be used.