Hi and Welcome
You probably don't want to hear this advice, but don't buy anything yet if you can join a club and find out if you enjoy turning.
I bought a relatively cheap Axminster Perform CCSL. Great little lathe, but extremely limiting. Now that I have it, I can't really justify the expense of a replacement and don't need a spare. I don't regret my purchase because I have found a hobby I love, but knowing what I know now I'd've increased my budget.
Hence my advice. I'm not really a clubby sort of bloke and haven't joined one myself. However, if I had joined a club rather than log on the Axminster, I would have realised how much I enjoy turning and would have bought a much better lathe.
Once you get a few extra scrapers and gouges and perhaps a sharpening jig and a decent chuck, you will find you've spent your budget.
If you are determined, see what you can get second-hand. I agree with the bigger the better. But actually the better the better is probably the rule. Someone on here said you should buy your last tool first, which is advice I should have taken.
For my next lathe, I will definitely get something with an ability to turn bowls off the outboard end - or with a swivel head. Electronic variable speed would be nice too. That might help you make the right decision.
All the best.
Steve