I have a nice Merkur leather case for my Futur. I asked to buy a tall, narrow bottle at my local pharmacy. The pharmacist produced exactly the correct bottle and, when he went to sell it to me, couldn't find a code to sell it under so he told me to just take it for free. It's a perfect fit for my brush. I have a plastic travel bowl with a screw-on lid for soap. It's not good to store a moist brush in a closed container long-term as mold/mildew can grow. But, for short-term storage during travel, I have never had a problem. The same is true with the soap; don't close up a wet soap for fear of mold or mildew growth. But, again, I have never had a problem with short-term closing for travel. Upon arrival, my first task is to unpack my razor, brush, and soap. It's that simple.
For air travel, blades must go in checked baggage. I'm told that it's best to put the razor in checked baggage too as the TSA people will key on it and search relentlessly for the accompanying blades if it's in carry-on baggage. You can also mail blades ahead. A few blades can go between a few pieces of paper and be mailed in an ordinary envelope for a single stamp. Address it to:
Mr. quattromori (Guest arriving <date> Conf # <confirmation number>)
C/O Hotel Expesivo
123 South Wasbash
City, State, Zip
The hotel desk will have it for you when you arrive.