How do i get rid of weevils if i have pet birds?

Yes its a major pest- I have had a weevil problem ever since i bought a contaminated seed bell and didn't realize until it was too late. My problem is that my pantry is clean and all grain type foods are sealed but i cant seal my bird's food dishes and cant use chemicals either, ive been vacuuming frequently and even extra around the bird cage but the weevils are EVERYWHERE ...AND JUST WONT DIE!!!! So what the heck do i do to get rid of them?