Rayburn do some models which burn wood only, and two which do coal as well. For optimum wood-only burning, the settings are different; it burns wood more efficiently with the wood grate plates in, and so on. Because we burn coal as well, we have it set up in coal mode most of the time. It does a grand job, but the wood really does need to be properly seasoned and dry.
There's also a special setting for burning anthracite.
Ours runs one huge radiator, a big towel rail and four medium radiators, as well as heating the water. We have no other heating besides the Rayburn itself in the living room; when it's very cold we leave the hot plate lids up, and the room is lovely and warm. I'm sure it could manage another radiator or two, but you might then struggle to do a roasting oven, hot water and all radiators at the same time.
You won't know until it's in and running whether there are some weather conditions that make your Rayburn struggle. So you may find there are some times when you can't get the oven really hot. If you can be flexible about how and what you cook, then you might manage with just the Rayburn, but I suspect most of us have another oven, hob and maybe grill too. And even we, in upland North Cumbria, do let the Rayburn out when it's really warm in summer. That doesn't happen every year, though.