Most "shared lists" are really just a shared view. Everyone sees the same items; nobody knows who's getting what. So you both grab milk, and nobody grabs the bread.
One list, live for everyone
Share a list with your household and changes show up for everyone instantly — check something off and it's checked off on their phone too, no refresh.
Split by place, not by argument
Because items are pinned to places, you can split the run the natural way: you take the stops on your side of town, they take theirs. The route adapts to whoever's carrying which stops.
Less coordination, fewer doubles
The whole point is to stop texting "did you get the eggs?" The list answers it. Share it once, and the day's errands sort themselves between you.