I still use peat based compost but last 2 years I’ve also been trying woolcompost on the advice of a person (HW-Hyde) I met at a show and it’s been great. Last year I did not re pot my lillies, strawberries, bush raspberries etc and they all did really well. And this year the toms were grand compared to a peat based compost (Humax grow bag) Downside is that they are not cheap. However they also do a 2x compost that you can mix with used compost and works well making it a bit more economical- just commented on another post btw.
I was buying compost the other day, looking for peat free, and I saw some claiming to be organic which confused me. Would that mean it's peat free?? I decided against buying it and bought something labelled as peat free, but "organic" does imply "good".