Based on your use of English, I am not really sure that it is up to the standard needed to study at a PhD level in the UK. Indeed, it probably falls below the standard needed to study at an undergrad level. However, in case I am wrong, and that your English is usually better than what you have shown so far, here are some very basic advice. The advice may only apply to the social sciences, arts and humanities field for the UK, as I have no idea how they do it at stem disciplines. For what it is worth, I went through the process last year, so do have a little current knowledge in the matter
1/ Search university websites for likely potential supervisors.
2/ Send an initial email with your academic CV and a brief outline of your research interest to see if they might be interested.
Note: it is very important that the CV should list all your degree classifications (1st/2:1/ distinction/merit/GPA, etc). I have a friend who deliberately omitted his Master's classification and just put down the title of his Master's. After receiving positive feedback from a potential supervisor at a decent uni, my friend was then told to submit a formal application to the university. It was then that my friend had to disclose his MA classification, which was a Pass. The potential supervisor replied politely that this did not meet the entry requirement of the university, and wished him all the best in his future studies. A total waste of time for both sides.
3/ Send the potential supervisors a copy of your proposal if they show an interest in your research topic.
4/ If the feedback is still positive, submit a formal application to the university.
That is all I can think of right now, as your question was so vague. Feel free to ask more specific questions and I'll do my best to answer.
Ideally, your friend / client should make their own application and not pay for / have someone else do it!
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