My daughter was always putting things in her nose when she was little. On a rock emergency room visit it took four doctors to figure this easy way to get foreign objects out of little ones noses. Block the nostral that isn't obstructed with your finger.
Step2
Give a good mouth to mouth blow.
Step3
The object should pop right out. Yes, it's gross and you'll probably get blood and goop on your face, but what won't we do for our kids?