We've had them in 2 different houses, one old and one new-build, and they suit us very well. You have to set the stove every time you use it, of course, so that's more time-consuming than a gas fire, and you need to clean the glass front with ash on a wet bit of newspaper (how often depends on the type you have) and of course the chimney needs to be swept, annually in our case.
They give out more heat than an open fire, we find, and are also safer; you can go out or go to bed with the stove closed down and it should stay on until you come back (our current chimney draws better than to old one and so the stove is more likely to go out at night, but it's a modern house so not a problem) and there is no danger of sparks.
If you get one which sits on the hearth rather than being set right back in the chimney, not only do you get more of the heat into the room, but if the power goes of you can boil a kettle or cook something like pasta (we have done both successfully), which is reassuring to know in a cold winter.
In summary, I would say that that a woodturner would be less convenient but warmer than your old gas fire, and how cheap to run depends on whether you have access to cheap wood. I pick up sticks as I come through the park and never buy or chop kindling. You'll gather that this is a recommendation!