Synonyms for Set About (same or very similar meaning)
WordNet sense 1 (begin to deal with):
approach, go aboutWordNet sense 2 (enter upon an activity or enterprise):
attempt, undertakeWordNet sense 3 (take the first step or steps in carrying out an action):
begin, get, start, commence, get down, set out, start outFrom the ODE community, based on WordNetadd/edit