Speak with your agent to arrange a viewing of the property. View with people moving with you, make an offer if you feel it is the right place for you.

You will need various different things  in USA, you need a lawyer in the UK you need a solicitor. Also you may need to prove your ability to purchase, so it might be a mortgage provider or details of the bank providing the funds. You will certainly need to prove your identity during this process.

There is no right or wrong time, but do it in your own time and when you are ready to make a "big" change in your life.