They won't compensate you unless the luggage hasn't been delivered within three weeks. Even then they'll put up a battle and make you go through a bunch of forms and hotlines, request receipts that you might not have anymore etc.

For a baby car seat, probably not worth it. For other things it might be but the receipt is missing etc.

At the end it's a damage you have to face for them not doing their job right.

Charge... how?