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I read "safely transport"...

A roll up snugly packed in a hardcover suitcase would you all of the protection that you need.

How many straight razors are we talking about?
If it is a lot, I...

For security reasons, you will obviously not be allowed to keep the razors in your carry-on luggage.

That being the case, you want to transport your razors in the most compact manner that you can....