Answer:
Mary's child slept in one of these
What leaps one time out of four?
Two year-old children who throw tantrums get this nickname. So did the tsar "Ivan."
What can get you there in eco style, pushed by your legs mile after mile?
I have a pet, his body is full of coins
What do you purposefully put lots of in and on your body, but run away from when you encounter it outside?