I had a tulikivi for 15 years. I loved it!! It absolutely heated the whole house perfectly evenly. You are lucky!
BUT I had a superinsulated small house with a small heat demand.
Tulikivis do not have a high BTU/hour capacity compared to a big modern wood stove, so if you have a huge heat demand these may not heat your house. You could build two or even three fires a day I guess and push it. I only built one fire a day, very rarely two.
The tulikivi was perfect for me since I could burn wood, which I had plenty of, and distribute the heat from maybe 20 or 25 pounds of wood over 24 hours in that house with low heat demand. I made a fire once a day. If it was sunny and not below zero, sometimes I could skip a fire. The temperature in that house stayed quite even. My heating with the tulikivi was often as much anticipatory than responsive. I looked at the forecast, planned for the heat demand of the coming day.
I burned almost all poplar. There were always poplar trees either falling down or begging to be cut down at my place. The poplar was perfect, because it dried well, burned hot and clean, didn’t coal much at all. I had a full closer damper, so as soon as the fire was burned out — an hour or hour and a half or whatever — I shut the damper all the way closed to keep the heat from going up the chimney.
You want wood that is dry and split small. I also burned a lot of small rounds. You don’t want, I don’t think, a long lasting fire with big logs. That might work OK and I might be wrong, but that didn’t seem right to me.
I built mine myself, with my ex, one weekend in 1986. It was, as far as I know, one of the first ones built in the US. I got to watch the first one in Vermont get built, so I had some idea what was what. I got it super cheap, a demo model, testing the import market. It was 1986, no internet. The manual — building and maybe using — that came with it was all in Finnish. Nobody here knew anyone who spoke Finnish, and no way to translate it.
One resource that I had for the general concept, and you should read is The Book of Masonry Stoves, by David Lyle. I think I’ve got title and author correct from memory. It’s out of print, but I think the internet archive has a copy of it.
My Tulikivi experience, with 3500 pounds or whatever of soapstone, made me think that soapstone wood stoves were just a gimmick and a scam. But now I have one, and I see I was wrong. I very much burn my Progress Hybrid like a mini Tulikivi except for the letting the fire go all the way out part. But I heat in bursts, let the stone get hot, and coast on the last fire for hours until I start the next one from coals.
Tell us more about the house, maybe I can tell you more about heating it.