Misty
No you will not need to claim UC unless there are other reasons that you need to, such as a new claim for Housing Benefit.
At some time in the future, probably not in the next two years, there will be a managed transfer of ESA claimants to UC and what is called New ESA, at the moment there are no details of how this will be done.
Gordon
Nothing on this board constitutes legal advice - always consult a professional about specific problems