The distance problem with cycling is solvable (though it pains me a bit to say this as a recreational cyclist) by electric bikes and other micromobility solutions (e.g. Citroen Ami). The streets of NYC are chock full of delivery drivers and others zipping along at 25mph on cheap, quiet electric bikes with ranges of many dozens of miles. Once we have a better regulatory regime for these (so people aren't blowing so many lights and hitting so many pedestrians), I could see them being a viable alternative to cars for many-mile use cases, at least during dry/temperate weather.
These devices still need parking, even if they are as compact as a scooter or a bicycle (not like a motorcycle). Keeping them in an apartment is a bit uncomfortable, too, especially in a walk-in on 4th floor, since they are not exactly lightweight.
Electric skateboards are much more compact, but take more skill, and have a shorter range.
All this is totally solvable, but the problems first needs to be recognized.
I lived in Vancouver, which is very transit friendly by NA standards.
In the residential Neighbourhood I lived in, most roads were 3-4 cars wide, and 2 of those widths were exclusively for parking private cars (parking lane, travel lane, possibly another travel lane, and another parking lane). The building I lived in had as much square footage for parking as it did for living.
Parking a car in was more or less marginally free(as in most North American cities). Using a city parking spot for anything else cost money, and was time limited. Renting a private parking spot was about $100/ month (due to building codes there was an oversupply of private parking in addition to the available street parking). Renting a bedroom the size of a parking spot was $500+/mo.
In other words, the city incentives were set up that a climate controlled parking spot for a car was significantly oversupplied, and cheaper, than a putting a human in the same space.
Oh, and they can't move closer to the city center: removing the subsidies just made houses that are centrally located impossible to afford for them.
If you want public transit be more popular, build denser cities. E.g. on Manhattan using the subway is a no-brainer, and you are rarely more than two (long) blocks from a subway station. In some more remote parts of Brooklyn, you often cannot reach the destination by subway alone, and you have to take a bus. Even further away, traveling by a bus either becomes too slow, or the bus does not come close enough, and a car is inevitable. I suppose there is no way to make public transit economical or time-efficient in agglomerations like Houston, even though LA manages a bus network somehow.
Cycling such distances us also problematic: you either have to be pretty fit and take a shower when you arrive, or you have to have all the time in the world. Cycling within a dense city is pretty practical, though.