All four nested as a carry-on.
Note: SNS bike, 80lb weight limit, two free bags.
Into UK:
Suitcase from charity shop. (Goodwill / St Vincent Depaul): Bike parts
Cut Box: Wheels and other stuff
Total checked weight 75lbs. Suitcase and box given to the nice parking lot attendants after assembly. Dublin has a used suitcase shop so I'm sure the guy made a euro or two for his trouble.
Into Iceland
6 in over the limit Suitcase from charity shop. (Goodwill / St Vincent Depaul): Bike parts
Long Duffel: Fork and other stuff
I was a bit surprised they did not measue the dimensions of the suitcase upon check-in