When I first moved to Leeds and then got married I never had a car simply because I couldn't afford it. It never seems to stop me doing anything I really wanted to do. Weekends away or heavy items to collect I just rented one for the day or weekend.
Of course I
wanted a car and as soon as I scrubbed together the dosh I got one. A banger naturally.
It's true this was some time ago but if you live in an urban area I doubt the buses/trains are very much different now than then. Apart from costing more and probably being more comfortable.
Many people imagine life and travel with no car utterly impossible and the thought of using a bus

fills them with horror.
I had a guy come to my house a year or so ago who was interviewing people for market research. He had samples, ( power tools). He had no car. (used local buses) Was not a native of Leeds nor a native of this country neither was his first language English. But he managed quite comfortably to get around on public transport aided only with a timetable. He did 'at least' four interviews a day which could be anywhere in West Yorkshire. After leaving me at noon he was off to Otley (about 15 miles away) then Halifax. (20 or so in a different direction.) Not a problem.
Oh he was Dutch. So naturally his English was better than mine anyway.