Welcome Nick!
You will get lots of advice, (some of it conflicting!) from Model Engineers.
As to"What lathe to buy?", the answer depends on various factors.
How big is your workshop?
How much money do you want/are able to spend?
(This may steer you away from new towards used. If you have the space, sometimes a machine ex School or Technical College will be a good buy. It will probably be little used, compared to its twin ex an industrial machine shop, as long as you ignore the dings where the toolpost has hit the chuck or someone has dropped a hacksaw onto the bedways).
What are you planning to make?
If small clocks, you may be able to survive with a small lathe. If you have set your sights on a 6 inch scale Traction Engine, you will need something much larger.
The purchase does not end with the lathe. You will need tools for it, accessories, drills, taps, dies, holders etc. Not to mention material on which to operate, and the need to heat and insulate the shop to minimise rust problems.
Example: Probably it won't be too long before you feel the need for a bench grinder to sharpen lathe tools and drills.
The list can go on and on, but you do not have to spend the first year bankrupting yourself by setting up a fully equipped workshop. You can buy things as you find the need for the item, although there are some necessary basics.
One piece of advice that I heard was "You can do small work on a large lathe, but you can't do large work on a small lathe", and I agree, so if possible buy a lathe that seems a bit larger (and with more features )than you think that you need now.
It is also worth buying a few books, to glean more information. "The Amateur's Lathe" by L.H.Sparey, Model Engineer's Handbook by Tubal Cain, and the Workshop Practice Series, by Harold Hall, Stan Bray and others give good advice, and innovative example of workshop techniques, as well as inspiration for projects.
It is amazing what CAN be made with a small machine, and a little bit of ingenuity.
DO join your local Model Engineering Club. You will be in the company of folk who share your interest, and most will be happy to help with advice, demonstration, and sometime the loan of a tool that you currently lack.
Not to mention the inspiration that you will get from their products, (sometimes, despair as to my capabilities)
As you begin to decide what you want to do with the lathe, it would probably be a good idea to look at machines at a Model Engineering Exhibition (The next ones will be Sandown Park in Decembar and Alexandra Palace in January).
My advice, for what it is worth, is once you have decided what you aim to do, to do research, and take advice before buying. (I.E. If you think that you will want to do screwcutting in the future, don't buy a plain lathe. If you are likely to become fanatical about surface finish, buy a lathe with power feeds, that is rigid; and so on)
And then to look for advice and help with the installation.
Like painting, the preparation is all important for the end result.
Good Luck!
Howard