A top priority I would think is we don't want someone who makes us feel unsafe, so there should be a penalty for such things as getting into fights and crime, perhaps petty crime especially.
On the other hand we do want someone that is friendly and helps take care of the commons, someone that helps clean up the street from litter and someone that arranges block parties to help people get to know each other.
There are also factors where people have strong preferences and compatibility is important, stuff like loud late night parties (it's reasonable to have neighborhoods both with and without) and communities where you have to have a perfectly manicured lawn (compare HOA).