Should I train as a Physio or Occupational Therapist?

Hey guys. I am a British graduate who is considering retraining as either a physiotherapist of occupational therapist, and I am wondering which of these would offer better job prospects in the future? I've done a few searches online, and as far as I can tell there seem to be more vacancies for physios than for occupational therapists. I know that there are a lot of private physio clinics in the UK at the moment, so that should add a lot of extra jobs on top of those available through the NHS, am I right in thinking this? Also, is it usual for a newly qualified physio to work in an NHS setting for a couple of years, or is it possible to go straight into a private clinic? Any advice is much appreciated, thanks a lot!