Hi - just stumbled onto your post. You might get a better response if you post further questions in the woodturning section:
viewforum.php?f=24Given your budget of £2000, I would suggest you have a look at the
Axminster AT1416VS or
with floor stand.
My woodturning club has one and it is a very nice lathe - smooth, powerful and quiet and good for anything but the largest projects. A friend of mine also has one and he loves it. This would leave you plenty of budget for a chuck and some jaws, tools, dust extraction and a sharpening system.
You would have no problem reselling if you wanted to move up to a larger lathe further down the road. I have its bigger brother the AT1628VS and it is all the lathe I'll ever need, but over your budget. I have found Axminster to be a very good company to deal with. Not the cheapest, but like everything you get what you pay for. When I bought the lathe it was delivered on a pallet by Axminster in their own lorry with a driver and mate who trucked it into my workshop. In comparison, when I bought my Record Power BS350S bandsaw from a RP dealer it was delivered in two flimsy cardboard boxes by DPD and I had to help the poor driver up the drive with it. He didn't even have a sack truck and they are BLOODY heavy!
I think the best advice I could give you is find your local turning club, go along to a meeting and get some advice on equipment and where you can get some tuition. I started out three years ago and blundered about in the dark for six months before joining a club. It was the best thing I could have done and would have saved me some money on a few duff purchases if I had done it sooner. I've also made some good friends there!
Good luck... turning is an absorbing and very rewarding hobby.
(edit: having reread your post, I didn't notice the need for a rotating headstock. At the club the (very accomplished) turner who does most of the demonstrations doesn't have a problem with the AT1416VS's non-rotatable headstock. He's done some large bowls on it with no problems (the max is 14"). Having said that, if a rotating headstock is a must, the new Record Power Coronet Herald suits your budget. Like the Axy lathes It has an M33x3.5 spindle and MT2 headstock and tailstock tapers which makes it future-proof. The only fly in the ointment there is that it's a new product so it doesn't have an established track record yet, unlike the Axy.)