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Hi Gloria. Are you also a British citizen as well as a US citizen, or do you have the right to live in the UK by some other means? I ask because nobody can just move to the UK to live without the correct visa. You can visit for a length of time - 6 months I believe - on vacation, but living in the UK, or any other country in the world for that matter, usually requires some kind of visa which may take a long time to acquire or even be impossible to acquire. On entering the UK you would probably have to show a return plane ticket and evidence that you could support yourself financially for the length of your visit.
I am a UK and US citizen or grew up in Dover and have lived in the US (Oregon and Idaho) for most of the last 20 years. So I know that to move to the US requires a visa, and it can be very difficult to obtain. Same applies for anything other than a vacation (or "holiday" as us Brits would say) to the UK.
I would also say that if you do have the right to live in the UK, it would be wise to visit Dover first and get a feel for the place before cutting all ties with Oklahoma. We might speak the same language (well, kind of!) but the two countries are very different and you might find yourself not happy in the UK at all, and then have nowhere to return to. Also, getting things like utilities, driving licenses (we drive on the opposite side of the road, very narrow roads, lots more traffic) will be very different. Some landlords may be reticent about renting a place to someone with no local background history to check. You will still have to file tax returns in the US and maybe in the UK too. Getting credit cards etc may be difficult with no UK financial history.
Don't want to be pessimistic, but there is a lot to think about for a move to another country!