Don’t all those things apply to a city like Amsterdam? Granted, there were still a decent number of cars on the road, but I was amazed how many people were doing their daily travels on bikes.
I’ve only been there once on vacation, and I didn’t pay attention enough to know whether the city design you mentioned is used.
I can get everywhere in Amsterdam much quicker by bike than driving or public transport. Cycling in the rain and snow [2] is no problem, you just need the right gear.
What non-Amsterdammers don't realise is the city never used to be a cyclist's paradise. In the 1960s, Amsterdam's car-obsessed urban planners had grand visions to drive motorways through the inner city, razing the historical buildings, and constructing Manhattan-like skyscraper clusters.
Here's a 3 minute video "Highways Almost Destroyed Amsterdam" [1] about those plans, the fightback in the 1970s, and the resulting bike culture that Amsterdam has today. Enjoy!
Disclosure: Daily human powered bike commuter in the US.