Nandina berries are actually a good source of winter food for most birds. Cedar Waxwings are the only birds I know of that will eat too many of the berries and kill themselves. But they also will eat too many mulberry and flowering pear fruits and fall out of trees drunk.
Nandina berries are not considered toxic for children and pets (or birds) for the same reason apple seeds aren't toxic - they don't eat enough of them.
If the Nandina bushes decide to go rogue, pull up the suckers.
Plant the Nandina.