I am usually butchering all by myself too.
I like to do them 2 at a time, all the way through. That way, if something happens that I cannot finish the entire batch -- unexpected afternoon rainstorm, injury (not happened yet, thank God), some other unplanned problem -- then I don't have a lot of half-processed chickens to deal with. I only do 4-8 at a time by myself, wouldn't mind being part of a big busy crew working on dozens & dozens of birds at a time.
I take 2 at a time, hang & slice necks, let bleed out, replenish the hot water in the scalding bucket, dip & pluck. Then I take them both to the cutting table and eviscerate. I take off everyone's legs, then necks, then clean out, rinse & place in the ice water. Sometimes before I clean out the 2nd bird I'll hang & slice the next 2.
I take 2 at a time, hang & slice necks, let bleed out, replenish the hot water in the scalding bucket, dip & pluck. Then I take them both to the cutting table and eviscerate. I take off everyone's legs, then necks, then clean out, rinse & place in the ice water. Sometimes before I clean out the 2nd bird I'll hang & slice the next 2.