You might do both over time. Lots of people find coaching a good next step after counselling. Others find that coaching brings up things they decide to explore more deeply through therapy. Also, although the approaches are different, a good coach is still a supportive listener, and a good counsellor can help you set intentions and see them through. Either should be a safe, supportive person for you to turn to. The difference is in the amount and type of support, and the purpose of the sessions.
Some practitioners, including Jane Pickard at The Next Chapter, are trained in both. Jane is always clear about whether you’re coming for counselling or coaching, but is able to draw on both sets of skills in her work with you.