If that's exposed concrete in the basement, this could be more challenging than you expect.
Traditional cemented cast iron stoves, as well as the simplest plate steel stoves, heat by radiation. It's a line-of-sight mechanism, that doesn't do much to heat the air, but rather heats any object placed in it's line of sight. Think of the effect you feel in moving from shadow to sun on a cold day, that's radiation.
Now, if the "object" in its line of sight is four concrete walls and a concrete floor, nearly all your hard effort is going to heat the earth around your house, an essentially-infinite heat sink from the perspective of our meager ability to feed wood into a stove. You will burn a crap ton of wood, and put very little heat into the house. I know this, because I tried it myself for three or four years.
So, what's the solution? There are several, but these would be the top three:
- Move the stove upstairs to the first floor. Do you really need to heat the basement at all?
- Insulate the basement. Anything is better than concrete buried in earth. Even 1" foam board on the walls would minimize radiation into the concrete from the stove.
- Buy a convective stove. These rely on an inner firebox and outer jacket, between which air is heated and accelerated out into the room, either by natural convection or by blower fan. They put off relatively little heat by radiation, which would be wasted into the concrete anyway, but rather heat the air directly. Look at BK Ashford 30, PE Alderlea, or Jotul F45. These are all expensive stoves, there may be cheaper convective options, I just don't know them myself.
I'd go so far as to say these are in rough order of performance, with 1 being most effective, and 3 being the least. Combining 2 and 3 might give good results, though.
Collecting, splitting, stacking, moving, and even loading vast quantities of firewood gets tiring for even the most dedicated among us after a few years, so discount this advice at your own future peril!