>>6016961With stuck pegs the hot near-boiling water like this anon said
>>6016890 is the best way to go.
with broken hands you can go 2 routes, fix the peg or replace the hand, you will need a pin or a pin vise in both cases.
First you need to extract the broken peg from the hand, using your pins or a sewing needle you can dig a hole in the center of the broken peg inside the hand, then put some super glue (be careful here) on the the tip of a pin or wire and put it in the hole, wait until is dry, then use some hot water to soften the plastic so you can pull the broken piece.
Now you can try to fix the hand using the pin method or you can replace the hand.