like others have said, try some netting over the plants, dont need to be touching the plants but covering them to prevent birds from getting in & taking your pods. or even that snow fence stuff, the openings are small enough to prevent birds going through it but big enough for other stuff to go through.
again like whats been already said, birds eat insects & mosquitos, so maybe just try to prevent them from getting to your pods vs killing them.
as for getting a cat
cats are the worst pet to own IMO, worthless pet to have inside the house & outside they're such a hazard to wildlife because they kill indiscriminately for the fun of it, & then they breed & have more feral cats running around killing, this becomes a problem everywhere, it even got so bad that WI was gonna have open season on feral cats
(dont know if it went through?)
I'd rather shoot the feral cat vs the bird, & so would thousands of other people! yea the cat will kill off some mice for you but it'll also kill other animals, about 50/50 1 animal you dont want - then another animal you would like to see/stay around/dont want the cat to kill (which would be food for another species of wildlife)
if you still want to eliminate the problem (birds) this will work just fine & would be better for those city folks so neighbors dont hear you (or as much)