With the way house prices are going, Amsterdam is rapidly turning into a city for rich people. There's a lot of rent-controlled housing, but waiting lists are more than 8 years on average. It's mostly the outskirts that are affordable, but not the center or the good neighbourhoods surrounding the center.

Well that true in Denmark as well, but both the city centers and the suburbs are pretty expensive, so risk getting pushed past those, and then you start getting into areas where public transport is basically non-existing.