I'd take professional advice.
The questions are designed to confuse.
You need to decide if you will be resident, ordinarily resident or domiciled in the UK & if you will qualify for detached duty relief.
The exact words you use will influence these choices. They will also affect any claims you make to away from home deductions, foreign earned income exclusions and State residency in the US.
Get the words right and you could save thousands of pounds/dollars.