Got lemons? Make some lemonade! heh
At least they are still essentially outside and their mess can be washed away when they're done there. I estimate the cost of repairing each bird hole at about $100 bucks if I paid someone to do it and they've run up about $1,300 in damages so far. Dagnabit!
The approved New Mexico fix is to flatten a tin can and nail it over the hole.