"Take up" is a common phrasal verb meaning to start or begin something. Some common synonyms for "take up" include initiate, embark on, start, commence, launch, begin, start up, and kick off. These synonyms convey the same idea of starting something new or delving into a new activity or project. However, some synonyms may also carry slightly different connotations, such as initiate and launch, which suggest a more formal or planned beginning, compared to start or begin, which can also be used for a more casual or spontaneous opening. No matter which synonym is used, all imply a fresh start or a newfound interest in something.