I used to live well without cars when I lived in a city in Europe and am fully dependent on my car now.
The difference?
In my European home city, trams ran every 6min. Buses ran the same route every 10min. Inner-city trains ran every 10-15min. And there were decent, well-maintained cycle routes everywhere, on both sides of the road, with well-made bicycles available at a reasonable cost. Public transport was cheap, ran in all weathers, maintained by a single company, and people were considerate.
In England?
In the city I used to live in, the best buses ran every 15min, but often were cancelled, so I could wait 30min for one and, on one memorable day, 2h due to the wrong kind of snowflakes. There were no trams or usable trains, and the cost of public transport was prohibitive if you needed to use more than one company. People used to listen to loud music, smoke cigarettes or weed openly despite the signs and I got a load of abuse when I politely asked, heavily pregnant, whether someone could put their weed out just for a few minutes until I got off the bus.
Cycle routes are non-existent, or, if they do exist, full of broken glass and potholes and suddenly end in the middle of nowhere. It's simply dangerous to cycle. Bicycles for sale often come without basics, such as splash guards, chain guards, a rack, lights (!) or a stand - add all of those on and you're looking at £400 at the cheapest end.
I now live in a very large town - close to 100,000 people. There is barely any work, certainly not much professional work, and still, property prices are rising like crazy. I couldn't afford to buy in a city, and increasingly I couldn't rent there, either. There is a bus every 15min where I live, every 1h in the part of town I used to live in. Walking into the town centre is possible and takes 1/2 hour if you're feeling sucidal - nothing I'd recommend for kids, but I have done the odd trip home.
Childcare is available from 7am (different part of town) and runs until 6pm; my job starts at 7.15am and finishes at 5.30pm if I'm lucky.
I live simply, my car is very old, my house has solar panels, I cycle and walk where I can unless I'm with my children. But my car is vital.