We live in rural France where everyone and I mean everyone has woodburners. The wood that we buy is grown locally and large areas are cut down regularly and left to regrow for another decade. So the wood is about £50 per tonne [after a euro to £ conversion]. We also source lots of wood from the woods behind us, by cutting up and removing naturally fallen trees, we save all our winter prunings for kindling and have a huge woodshed to stack it all in. All in all we spend a large amount of time collecting and dealing with wood to be used to heat the house here.
In the winter the fires are lit in the morning, banked down to keep the main living areas warm and dry for the day and refired up around tea time for the evening. We usually only use 2-3 larger 'paid for' pieces for the woodburner each day. Everything else we burn was free, it just took our time and energy to cut, stack and store. They are essential here, and our heat pump is really only used to take the edge off in the mornings, and to warm the whole house through [not the main living areas] to stop any damp from forming in the evenings, and for hot water.
If you are just using a woodburner for 2-3 nights a week in the winter, that means what, 12 times a month, so maybe at most 60 times a year? For that you really need to spend money to buy wood which you might not get through each winter so you'll need to store it as it is inefficient to just buy smaller amounts. You will need a yearly sweep to keep it free of soot and nests. Unless you have already got seasoned kindling you'll need to buy that [v expensive for what it is] or split down the straight bits of seasoned wood that you bought. So you may need to buy an axe or some log splitting tools. So already, it is a huge outlay for just 60 fires a year.
I am a committed wood burner fan, don't get me wrong but I'd either buy one and use it to actually efficiently heat your house and commit to it, or rethink it.