Welcome to the forum!
I think you will need a full liner to the top. Your current chimney has an area of 80 sq-inches; a 6"-liner has only 28. With that big of a difference a woodstove will draft poorly which will result in more fuel consumption, potential for smoke spillage into the room, creosote accumulation in the flue, etc. A liner will also be way easier to clean. An insulated liner is highly recommended as is a block-off plate:
https://www.hearth.com/talk/wiki/make-a-damper-sealing-block-off-plate/
The big difference to your current stove will be that you have to buy the wood way in advance. The wood needs to have a moisture content below 20% in order to burn properly. That usually requires splitting and then stacking the wood in a sunny and windy location for one to three years depending on the wood species and drying conditions. Be aware that wood sold as "seasoned" rarely fulfills those requirements. If you don't have any sitting in your yard yet, I would recommend getting that started and then to look for a stove during the spring/summer.
If you want to give us some more info about your home (area to be heated, insulation level, layout), your budget, preferred design of the stove, we may be able to help you with the stove selection.