Which three articles of clothing are associated with the Crimean War?

The Cardigan and Raglan are two that I can source.

Cardigan - Knitted, usually sleeved and usually collarless, open-fronted, buttoned or slide fastened jacket. Invented by Lord Cardigan who wished for a woolen 'jersey' he could don without disturbing his coiffure. Cardigan was also famous for leading the rash and glorious Charge of the Light Brigade at the Battle of Balaclava in the Crimean War.
Raglan:

A type of sleeve which runs up into the collar-line at the neck point. Invented by Lord Raglan, C. in C of the British forces in the Crimean War. As extra covering against the bitter cold, he suggested troops cut holes in blankets for their hands, then stitch superfluous hanging folds into cylinders for the arms. This smooth shoulder line was later adapted for civilian wear.

http://www.bensilver.com/style04/about_clothingTerms.htm

Don't forget the very attractive balaclava https://en.wikipedia.org/wiki/Balaclava