Also car rental or car share, U-haul (for moving large items), taxi, on-demand buses, walking.....

So my piece of advice is:

Whatever you plan to use as your main transportation, you should also have a Plan B and if possible a Plan C.

This should go for car owners also--many times I've known co-workers to not make it to their shift "because my car broke down and I don't have any other way to get there." As a carfree person you will be judged more harshly, so be especially certain that you have good backup plans.

BTW, I used to have a manager who would drive herself to pick up employees who had a transportation issue. So maybe some people can add "transport by the boss" as a Plan B.