Lots of good advice. I certainly can't dispute any of it.
All that said I do shut my stoker off a few months per year. And I have been doing that since I first bought my unit 6 years ago.
I usually run mine til early june depending on weather. Basically when I have no heating demand at all even the nightime when it might run once or twice per day.
I Start it again in Oct. The last few years right around Oct 10th.
Maybe I'm not as hardcore as most of these guys but I don't mind not tending it for a few months... I'm not adicted to that facet of it

Even if tending it is 5 minutes a day I can find something else to do outside those 5 minutes all summer long and enjoy it! Probably when i'm retired some day I won't feel that way and I'll be looking for things to keep my busy but for now... nah.
I do all the things mentioned. remove pipe to chimney, Clean it very GOOD within 1 or 2 days of shutting it down. (agree with statement about cleaning it when unit is still warm which is usually 1 day after shutdown) Tubes, walls, etc. Then I put in a 40 to 60 watt light bulb til I get ready to turn it back on. usually check it once a week to be sure the bulb is still on etc. you'd be surprized as just how warm that little bulb will keep your unit. Certainly enough to keep away the moisture issues.
My Coil has a bypass that goes into the hot water tank so I throw two valves there. done.
I can't dispute that this may or may not be the best advice but I also think if you do it right you won't have a problem. My .02