I think it is unrealistic to believe that we can create cities without cars, at least the way we live our lives today. We can reduce the use af cars, and decide to ban cars from some parts of cities, for example the city centre, but a total ban in cities seems farfetched.
I think it would be easy for people to use public transportation to get to scools and work, especially if workplaces and schools had a positive approach towards it. This requires of course good public transportation, and/or good networks of cycle paths.
One big problem, the way I see it, is to do things like grocery shopping. If you have two or three children (or more) it is hard to go by bike or public transportation twice a week to the grocery shop, especially the way supermarkets are built today. It seems like there is a trend towards building supermarkets outside the city centres so you are supposed to go there by car.
A way to reduce the use of car is to try to change peoples behavior and the way we think. For many parents it is natural to take turns in getting children to their activities, so instead of one parent driving one child they try to fill the car with three or four children. Maybe we could think the same way about grocery shopping, go two or three together in one car instead of one in every car.
I also believe in subsidies for "green" cars to get a large amount of cars with lower emissions and smaller environmental footprint in the car fleet.