Best advice is both. The log burner will nicely heat one room if it is big enough.  What about the other rooms ?
We started with a stove but after a few winters added gas fired central heating. The problem with the stove was no distributed heat and it tended to be almost out in the morning. The luxury of being able to wake up to a warm bedroom and bathroom were worth the expense. I get thro' a bottle of gas in 7 days on average during the winter. We still have the stove lit in the evenings.