I can sympathize. We keep purple martins in summer. It’s alot of work and $$. Hawks love picking the them off. Migrate? They know where the buffet is and don’t leave. English sparrows are another pain. But I’m able to kill them since they aren’t protected.
I have sharp-skinned hawks and and peregrine falcons, pick off my *chillins*. It’s sad, b/c the doves mate for life. But that’s nature.