Your choice of lathe will depend on a number of factors. Space, Budget, work to be undertaken, availability of accessories such as chucks, steadies etc.
Since you have mentioned working on 40mm diameter material, you are likely to need a fairly big lathe, by most model engineering standards.
A Mandrel with a 5MT taper, may not accept anything larger than 38mm, based on the Chester Craftsman (which is cousin of the Warco BH600 and the ETR BL 12-24) The later geared head successors will be likely to have 5MT Mandrels.
You could buy a used machine, but : ex Industry they will be well used, or ex Tech College/School may be little used but carry battle scars. ; and may be fitted with three phase motors. No problem if you have a three phase supply available, but could mean extra expense / complication if you need to convert (Invertor or different motor) to run off a single phase supply. Availability of accessories may be a problem with second hand machines.
If you do go for a secondhand machine, try to take someone knowledgeable with you to examine / test it thoroughly. A mistake, such as a worn bed, could prove expensive.
And bear in mind the cost of moving it to your workshop, and any likely access problems. (Moving 300Kg of machine down a step and around a corner at the same time, and then lifting it up 8 or 10 inches into the shop and then into position on the bench could be difficult – I know)!
And when you install your machine, make sure that the shop is well insulated and well ventilated, to prevent rust problems. With regard to machine installation, my hobby horse is to ensure that the bed is not twisted. The tailstock can be adjusted to the centreline, but a twisted bed will result in unwanted taper turning.
Howard