I just checked the safe plant list on this site:
Safe Plants for Birds. Both of the plants are on the safe list. I've had to move most of my plants out of the room my boys are in, not because of the bird's safety but the plants. Bing loves to shred a live plant. I'm glad I only had safe plants in the room to begin with but I have a feeling my Christmas cactus won't be celebrating Christmas this year.