I am a US citizen and live in the US my boyfriend is a UK citizen and lives in the UK we would like to get married in the UK and live there what do we need to do to make this happen and how long will this take

I cant offer you a link, but suggest you go right to the horses mouth and speak to the UK consulate nearest to you to find out what visas and documents you will need to make this happen, as you put it.

Every situation is different and although there is no problem getting married in a country not your own, there are always particulars that must be known regarding both parties. We don't know this, and it would be a general answer.

My personal experience is it might take several years or more ( my wife was from Europe, I am a US Citizen)... and I know some people that never got approval. Its not automatic, easy, quick or cheap.

DON'T try to come as a tourist and expect to change status, that would be a HUGE mistake. Get all the paperwork squared away and approved BEFORE you do anything including getting married.

Your heading says "Moving to the US. The body says "we would like to get married in the UK and live there". Where is "there"