We have starling out the ying yang...they are horrible. This morning before I left for work my one 50 year old oak tree (BIG)was just covered with them, not a branch, twig or limb was not covered with these flying rats (I'd take pigeons any day over these nasty, ugly, greasy looking things).
I generally have this problem in the winter, the warmer months are not too bad at least they don't invade the coop.
Last night I took and old towels and cut it into strips and tacked up over the pop door in an attempt to keep them out. Of course, the chickens didn't know what to make of it but hopefully they will figure out they can walk through it.
I have a four foot long older feeder in my coop and almost every night I have some feed left, not last night, it was all gone every last pellet and bird crap all over the place.
I live in suburban St Louis. In my suburb we all have 5 acre + lots, lots of mature trees, many people with horses, pet goats, chickens, ducks, geese etc. and the starlings know there are lots of opportunity for a free lunch. Approx. 5 to 6 years ago the problem was so bad the Mo. Dept. of Conservation used cannon nets to try to reduce the population, they estimated they eliminated 20, 000 plus birds in a week period of baiting them with cracked corn, shooting the net over them, then destroying them.