If you are resident in the UK and control a US company, HMRC need to be told about it. https://www.gov.uk/guidance/controlled-foreign-company-an-ov...

The US company will pay 20% UK Corporation Tax on (worldwide) profits and need to fill out CT600 each year.

You will probably be able to pay lower taxes in the US as a result of double taxation treaties, but it's going to be a very tedious task to organise.