Ask HN: PhD in the UK or US?

Ask HN: PhD in the UK or US?
Hey HN, I'm a 2nd year MS student and I'm looking into applying for PhD programs. I've gotten my dual Master's in CS and Biology, and I'm looking into doing a PhD. I have a very specific idea of what I want to do, focusing on Neuroscience inspired ML architectures, and I've found potential advisors at Oxford and a few US universities. What do you think are the advantages of doing a degree at one or the other? Also, I'm a US citizen! Went to undergrad in the US and am currently attending a US university for my masters