A starter set of tools if you are getting into the hobby is a good call as a well specified set gets you the basics, and let’s face it, when you’re starting out you don’t know what you need. Also they are a lot cheaper per tool that way.
I can’t agree with Jacob’s suggestion. It’s an overpriced generic Chinese set and who knows if they are any good.
This set is made in Sheffield, cheaper and many people (including me) can tell you they are decent quality.
https://www.axminstertools.com/axminster-craft-woodturning-tool-set-106153
If you have Christmas present money burning a hole in your pocket, this is a cracking set on sale for not much more:
https://www.axminstertools.com/crown-cryo-turning-tool-set-211384
The lathe from screwfix is probably a step up from the notorious Aldi one, but not much of one. I’d highly recommend getting some hands on with a course or club so that you know what you want before buying something like that.