The most beautiful bits are a hell of a long way from anywhere else/central, if you are moving there/here. I speak as someone trying to go home, but finding I can't go as far in as I'd like because I want to be within an easy drive of some family. The roads go around the edges, not through the middle, and are smaller than they look on the map.
Also, if you're English you might find the double language frustrating. Road signage and leaflets, supermarket announcements are all in both languages. DM and DF who have lived there all their lives without learning a word of Welsh get cross about it!
It's great culturally, and I think there's more money in the pot for services, due to devolved government top ups. Things like access to laptops for children with dyslexia always seems more accessible there, free prescriptions and so on. That could be a 'grass looks greener' though.
I find some bits feel a bit oppressive- old fashioned, deprived, and tucked in against the mountains so potentially dark and densely populated. Obviously that's an impression of certain areas, not a blanket truth. I'm looking for somewhere to live with a big garden and space away from neighbours. Some areas have no houses like that at all. It's villages perched on the edge of steep hills, small winding roads, packed in close. Other bits are beautiful- open, panoramic, but no houses.
Some areas are not at all culturally diverse. It feels like my sister lives 30 years behind me, sometimes. I think all the diversity goes to Cardiff- very diverse- leaving everywhere else a bit behind in that respect.
And it's hilly, so bike riding is a bit more challenging!
Sheep, rather than cows.
I'm writing from the perspective of living in an English city for 30 odd years, but in close contact with family and doing lots of visits and holidays and trying to go back home! So possibly an out of date impression!