Google "Blaze King wood stoves", that will provide you with answers to most of your questions regarding operation of a catalytic convertor stove.
My house came with an "Earth" brand wood stove - non catalytic convertor. It was very pretty - but like yours, had to be tended constantly and didn't put out that much heat. So in 1995 I bought a Blaze King - only because that's what the local hardware store carried. LOVED the stove - it proved to be a great investment. But a couple years ago I had to go to a pellet stove, only because firewood is almost impossible to get where I live in northern Nevada. I was having to drive 250 miles (one way) to Oregon for firewood and then even that source dried up.
As I said, I loved using the stove (used it for 24 years) - I much preferred using it compared to my current pellet stove. After two years with the pellet stove I still can't get used to having the sounds of fans running constantly. Yes, it takes electricity to run a pellet stove - so when the power goes out, unless you have a generator you have no heat. The Blaze King was totally silent and put out constant heat - unlike the pellet stove which turns on and off via thermostat.
Using a catalytic convertor stove is not that much different than using a regular stove. You build a hot fire to let the heat and fumes ignite the catalyst. Then you turn down the air control depending on how much heat you want the stove to put out. The important thing to remember with a catalytic convertor stove is that you can't be burning all your unwanted trash in the stove as certain things will plug up/destroy the catalytic convertor. Wood or clean paper only! These stoves put out essentially no visible smoke once the catalytic convertor ignites. Very little creosote buildup in the stovepipe - I cleaned my chimney only twice a year just to be on the safe side - because the creosote is also burned by the catalytic convertor. Ash depends more on the type of wood you burn - I burned mostly juniper (cedar) because that's what grows wild around here - and had to empty ashes only about once a month. On the other hand, if I burned elm that produced a lot of ash I'd have to empty ashes every couple weeks. The catalytic convertor will have to be replaced at some point. I changed mine after 18 years.
This is my Blaze King, a year before I replaced it with the pellet stove:
This is a photo of the catalytic convertor glowing up inside the top of the stove (hard to see and photograph!):
There is a thermometer in the top of the stove. Note that it is pointing at 1300 degrees. You'll see no flames in the stove once the catalytic convertor is lit and you turn down the control. The catalytic convertor will be providing all the heat as it burns the vaporizing wood fumes.
Can't speak for other stoves - but with the Blaze King I would build up a good hot bed of coals, then shove in a large piece of wood and turn down the control. That would last a good 12 hours of keeping my big house at 70+ degrees. Blaze King claims up to 40 hours of heat on one loading of wood if the control is turned down to low heat. This is a shot of my firewood at the time - logs ~ 18" in diameter split in half, 16-18" long, fit in the door of the stove easily.
Bottom line is this. If I could find an affordable, accessible supply of firewood I would yank my pellet stove and put the Blaze King back in. I'm nearly 80 years old now and had wood heat all my life except for the past two years with a pellet stove. The Blaze King is by far the best, the most efficient wood stove I've ever used. Not saying other brands aren't as good - no experience with other catalytic convertor stoves so I can't comment on them.