At least here (Italy) you would want to ask for Zeiss lenses:
https://www.zeiss.com/vision-care/int/spectacle-lenses-from-...
cannot really say if they are actually "better", but my usual optician (whom I trust) swears by them, I recently had a new pair of lenses (on an old frame) for around 250 €, cannot say which exact version/option they are, the whole Zeiss catalog (in print) is a huge volume with tens of options.
I would advise against "remote" in this case, as unlike "normal" lenses (for myopia) where the "only" additional parameter is interpupillar distance, for progressive lenses it is also important the size and shape of the frame and your personal "posture".
As anecdata only, with an earlier pair of glasses I had issues because the frame was too big (or tall or however the lense center was too high) and I had to slightly bow to focus long distance, had to change the frame with a slightly smaller one so that I had the right long range focus when standing upright.