There's a relevant recent thread... I'll try and find it.
I think it might be this one: viewtopic.php?f=15&t=142769
Most things have been said to the OP already but maybe these points either haven’t or have escaped my casual scan through of the thread. Perhaps that (such points) is because this is a cycling forum and some details are taken for granted. Details that are not successfully negotiated by everybody who tries, and the voices of those who (despite their best efforts) failed are not heard here.
1) Cycling requires that you have a suitable bike, that it is well maintained and that it is set-up for you to ride. Many people end up not riding because they fail on one or more of those simple points, those points can actually be hard to achieve.
2) Cycling requires a degree of physical fitness, some of it Cycling specific, which can take a while to arrive and is important to retain. If you are injured, sick or exhausted then you might still be able to drive but be unable to manage to cycle - it is important to take good care of yourself. Cycling, when you do not have alternative transport, is also an all weather activity; so if the weather is foul you might still need to go out in it.
3) Cycling is not an unskilled activity, learning how to handling a bike safely and efficiently can take time.
As a young man I had no alternative but to be car-less and didn’t have the luxury of good public transport and on-line shopping - mail order was a help. Like many others I survived, but being without a car really impeded what I was able to do in my particular circumstances at that time. So whilst being car-less was possible for me it was not without adverse consequences; YMMV, etc.
If I were to think about going car-less by choice then my start point would be to draw up a list of the journeys that my car is and has been used for and then to decide how to complete those journeys, or satisfy the reasons for those journeys, without a car of my own. Each of us has our own particular set of circumstances, however such a list might be a useful start point towards deciding what is practical in our own current circumstances; to an extent that list might also enable us to consider what might become practical (or not) at some future point. Looking past the present and near future you might also think about your mid and longer term aspirations and anticipated needs, how likely they are to become realities and how being without a car might effect them. Considering how you might work around issues and what you’re willing to forgo to have the up-sides of not having a car seems a smart move to me.
Good luck to the OP with the decision and the decision making process.