We have woodburning but are considering conversion to a wood stove or gas. Unless what you have is ducted into a central air conditioning/heating system, you get a lot of waste heat going up the chimney. You also have to contend with creosote buildup with a woodburning system, which requires an annual cleaning by a professional chimney sweep. Then there is the cutting, splitting and stacking of the wood. If you pay someone else to do it, then your costs go up.
Gas, on the other hand, is clean and will actually heat the space in question. If you're going for ambience only and can handle the maintenance costs, then go with wood burning. If heating is a main concern, go with gas.