If a nuclear bomb explodes nearby, never get in a car
businessinsider.com
businessinsider.com
There are way too many factors to generalize any proper response. If you are too close to the blast for the filtration in a car to be of use, you will probably be in a state of shock anyway, so just get in, drive away, go to the closest convenience store, help yourself to water, food, etc and drive away as fast as you can. Otherwise, if you are in a busy city, ya, yer pretty much out of luck.
Oh and this is just a guess, but save up on bottle caps.
If you survive a Nuke explosion you can see then you can assume you will starve. Nobody is going to truck food in any quantity anywhere near you anytime soon.
A single modern Nuke explosion in any populated center anywhere on the earth is going to change EVERYTHING about how you live.
Alex Wellerstein made an awesome map, where you can "nuke" any city with any size bomb and see all the effects: http://nuclearsecrecy.com/nukemap/
Wellerstein does not model a lot of the effects in Nukemap, as he admits.
The fallout issue depends on the height of the blast, the material attacked, etc. A ground blast lofts huge amounts of radioactive material into the upper atmosphere. Depending on the firestorm to follow there is yet another source of uplift.
Low background steel (https://en.wikipedia.org/wiki/Low-background_steel) is highly valued because it is not contaminated by nuclear tests which affect all post-war, pre-1963 manufacture.
Chernoble affected Europe in detectable amounts and it wasn't even a warhead.
Just yesterday I read an article (http://investmentwatchblog.com/a-nuclear-spent-fuel-fire-at-...) pointing out that a fire in the spent fuel storage in Pennsylvania would affect millions (http://scienceandglobalsecurity.org/archive/sgs24vonhippel.p...). And that's just a fire, not a Nuke. If the Nuke hit a spent fuel pool things would get ugly fast.
I admit it might not kill everyone. But it would certainly ruin their morning coffee.
That said, and you address this indirectly, it's a sad state of affairs when the threat of random nuclear discharge (?) is normalized and as a matter of fact-ly consider inevidible.
"What did you do this weekend Bob?" "Well, painted the kid's bedroom, and took the car to the car wash to clean off the fallout from last week's blast. Thankful, it wasn't as bad as the Blast of 2019..."
Things happen for a reason. And sometimes that reason is because of a lack of imagination otherwise.
Also, if I'm sat home during a one-off detonation; what good is waiting for that nuclear material to rain down on my house?
BTW if you want real nightmare stuff, google the casualty rates after 1 year from the EMP of a nuke detonated high above the United States.