Atlanta!!!
Atlatl. Or simply spear-thrower.
It’s a bit like a fing-longer, but for your whole arm, and therefore more useful.
Same principle as the sling: they make your arm longer so the “hand” moves faster when you swing it, allowing you to throw stuff at higher and more lethal speeds, and farther.
We’re still quite lethal even without these tools though, just look at baseball pitchers.
I live close to the central area of an ~80,000 population city.
Looking at Google maps I’ve got about 10 general stores within 300 meters, probably thrice that within 500m, plus plenty of smaller specialised stores.
300 to 600m seems like a reasonable distance to walk to and back with four to six bags of groceries.
For smaller more specialised shopping trips one or two kilometres would be fine too.
Three might be a bit much, though I’ve often walked that to go to the cinema.