I have to tell a small tale here.
When I was about 10, my father ( bless his heart, was a real lover of critters) brought home a pygmy goat. He promptly named her Crystal. She became a house pet.
She was in the house over the summer into the winter months. Christmas was around the corner, when my dad brought home our traditional real tree.
Dad sat it up in the corner in the stand to let it rest overnight. We all went to bed and in the morning we were all awakened by my mother screams. We all rushed down the stairs to see what was the matter. Apparently, the Christmas tree had been an overnight treat for our Crystal. She had cleared the tree up as far as her little body could stretch. With no ill effects our little Crystal was banished to the garage until we took down the new Christmas tree.
So, I don't really think you will have any problems with your lovelies.