In reply to David Hooper:
As I understand it, if your chimney has a fairly large diameter then your hot gases will enter from a 5" or 6" pipe hole in the registry plate, the hot air from your stove will spread out and cool rapidly. Reducing the draw on the stove and increasing the deposits on your chimney.
I think in the days of old there was probably some thought on the chimney size and the size of the hole above open fires, to maintain draw and prevent the smoke exiting into the room. Some people seem to have no problems running stoves flu less though, so hard to say for certain who is correct.
We have a single skin flexible liner in our old chimney (200years ish). It's easyish to do, you can buy a cone to use to fit whilst you feed it through, after first dropping a plumb line type thing down the chimney to pull on. If you can get easy access to the roof (single storey?), it's pretty straightforward.
I was advise against using vermiculite or chimney crete and the like around the flu. It makes it much more of a pain to change the flu in a few decades time.
If you have a fairly broad chimney base, you can get a registry plate with a separate hole in for sweeping, if you choose the unlined route.