I am the ONLY guy I know that still uses a zippo for EDC. 
     I edc a zippo. Used to carry the windproof naptha eating variety, but now I find myself carring the new Zippo Blu butane variety. 
     I would suggest one of the carry pouches made for the Zippo. I found that mine would leak fuel occasionally if I carried it in a pocket. The pouch solved that. 
     I prefer the type with a leather strap and snap arrangement, as I've found that the steel clip type can easily let go, and that the clip is subject to damage.
     THe Zippo fuel cell is a really good idea, even if you don't carry a Zippo. It gives you instant tinder. I must replace mine, as I gave it to a friend. Don't trust the carry clip on the cannester, though, the top can unscrew, resulting in loss of the cannister.