Cats

three weeks ago in my family's back yard, a family of cats moved in. They decided to stay in our yard and are still there. But being cats, they hunted two birds and a squirrel. Previously, my family's house was a place where migrating birds stopped by and squirrels flourished. Now, hardly any animals stay there. My family came to the decision to call animal rescue to remove them. We did not want to call animal control, who would put them to sleep. But after we made several calls, none of the animal rescue people could do anything about our cat problem. After calling animal control, they said that they would keep the cats for five days. If they thought they could be domesticated, they would send them to an adoption center. If they saw that they couldn't be trained after five days, they would put them to sleep. We thought the two kittens were able to be trained, but we doubt the mother cat will be. My mom had the idea to capture them herself to see if they could be trained, but we don't think that will work. We have no idea what to do.