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I made mine out of one big piece of cardboard from two sides (with a common fold) of a large box. I added the two side folds after cutting quarter inch wide slits. I reinforced those folds with tape. I even gave it a loop-and-button closure for tucking it away when not in use. I added an easy-carry handleto the top of the board.
If you have a heat gun, blow hot air over the tape once you have it in place and then press out all the air bubbles while it's still warm. Heat and pressure helps set the glue. If you don't have a heat gun, perhaps you have a blow dryer. Use the hottest setting.
I used a salmon can for my chimney. The bottom is already tapered so you don't have to cut slits in the side to fit it into the soup can.