The New Improved Tuckaway had a small handle and fit with a blade box in a case the size of a cigarette case.
The Traveler set included a full sized New Improved standard razor with a blade box and two tubes, one for soap and the other for a brush. The kit also included a mirror in a pocket in the lid.
Finally, a photo of the Tuckaway with an original Gillette blade.
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Wet Shaving Journal 
Very nice review. Would love to own some like that.
I love the new improved series in general !! The traveler is a great piece as it added that flexibility all in one compartment. Great write up !