This will be the first time I've cleaned the stove pipe (or any stove pipe for that matter). This is a double-wall pipe. There are three sections - one connected to the stove collar, one to the box in the ceiling (I forget what that's called) and one that runs between them. I tried to take out the middle section by removing three screws at the bottom of it and one at the top (I guess they just put in as many as they want?). It didn't budge. It then occured to me I didn't know what was going to happend when I knocked this thing loose. Is the pipe supported at the ceiling or is it going to come falling down as soon as the pipe below it is loosened? What's the best way to do this?