@Damien: from what I read here you have yet not much experience. I would suggest first to define something you want to make using your lathe and the determine what would be the required tools. It is my personal experience that when you start with a lathe or a milling machine I had the tendency to buy kits of tools. On the milling machine, there are a few kits that you need to have.
But for the lathe, you should just by a tool with which you can machine the material you want to use. Brass and aluminum are good metals to start with. Do not buy at the beginning one of those tools for the lathe you can replace the "cutting part". I was fast to destroy my parts of this kind. A pure metal cutting tool made of a single piece of steel with a hardened piece of steel soldered to the steel tool.
This is just to show you the cutter I would recommend, Next is the link to such tool in eBay.
What you should not buy as a beginner:
There is but an important thing to get to know upfront. What size of this tools you need for your lathe. The supplier of the lathe should be able to give you the information or the paperwork that came with your lathe. The reason is that the part of the cutter that cut the part you want to machine has to be exactly in the middle. The kind of cutter I am recommending you at least to start with you can resharpen the cutting edge. Already a bit more advanced is a pure stell cutter which you can adapt to the form you want to reach with the lathe.
Such a machine will be of great benefit to resharpen you cutters or make cutters the style you want. grinding your own tools the link to a pdf document that explains it.
As you can see, none of this tools are expensive!