As someone who has succumbed to buying THREE sets of tools over the years (two carbide tipped and one HSS), only to find that there are some tools which are never used, and that the HSS set is still wrapped up and has never been used, spend your money on a double ended grinder and a few HSS blanks. You will learn a lot more, your HSS blanks will last "for ever", and you will save money as well.
Also, may I suggest that you consider the size of tools you need. Although it might seem a good idea to buy the largest your lathe can handle, it just means more material to grind away whether on initial grinding or when re-sharpening. Someone, somewhere, has suggested that 1/4inch or 6mm along with packing are probably adequate for most amateur turning.
I find that the right hand knife tool does the majority of my turning, followed by an internal boring tool (of which I have three – all different sizes, and a homemade narrow parting off tool. I find that the parting off tools supplied whether in sets or not are too wide for my lathe and cause chatter. Occasionally I might use a left hand knife tool. The vast majority of my thread cutting is metric, for which I use a homemade 1/4 inch silver steel tool, and very occasionally larger tools in both metric and imperial.
Good luck,
Peter G. Shaw