Best private fertility clinic in the UK

Becky • TTC #1 for 3 years now. About to start IVF 🎉🙈
So we've been TTC for 2 years with no due. We are both in working order so there seems to be an unknown fertility issue which is prevent us from conceiving. Our doctor has us on clomid at the moment but it hasn't work! The doseage is correct because I'm producing good size eggs and ovulating but for some reason it just isn't happening. Our doctor now says he's going to leave us for a year before trying anything else on the NHS (if we're even eligible). I don't want to wait this long! So we've decided to look into going private clinics to speed things along... Can anyone recommend/know where the best clinics are in the UK? So far, we've heard Oxford is the best!