This DEFINITELY depends on the type of apocalypse.
Zombies? Car. The only downside to using a car in a zombie apocalypse is that it eventually runs out of gas, but with infinite you could be completely safe, use the car as a weapon as long as it´s used safely, and travel to an area where you could hole up permanently. The watch is a secondary decent option, and the handgun would be my third. The handgun would make a ridiculous amount of noise, but I could use it to shoot myself or deal with smaller numbers of zombies.
Pandemic?
Base in which I can last 10 years, though I might want to outfit it with aquaponics to last longer, idk how long the pandemic would take.
Nuclear holocaust?
If the base with food and water is far underground, I´d take it but the 10 year limit would be an issue that could get me killed. Otherwise, I´d take the watch or car and book it to the most low-profile target possible. Then, I´ d need to find clean drinking water and just hope I don´t get cancer or radiation poisoning
Civil War / Governmental Collapse?
Handgun with infinite number of bullets will allow me to survive the early days, after which resources would start to run low for everyone but I would have all of the bullets. I could then use my handgun to rob everyone I came across for sustenance.
Idk like alien invasion?
I have no idea how I´d deal with this need more info