I can only repeat what the others have said, but the following may help to get you started:
https://www.gov.uk/self-assessment-tax-returns/overviewhttps://www.gov.uk/tax-foreign-incomehttps://www.gov.uk/register-for-self-assessmentFrom your brief comment, I would make the following (possibly incorrect) assumptions:
1. You will be resident permanently in the UK.
2. Since you lived in the US for 33 years, a portion of your retirement income will come from the States in some form. This is deemed 'foreign - untaxed' (for UK purposes) income, hence the requirement to file a self assessment form.
3. Since you are retired, you will no longer receive any 'earned' income for US tax purposes. This means disregarding anything you hear about filing US tax forms from abroad using the FEIE (Foreign Earned Income Exclusion). Retirement income will likely be 'unearned' income for the US, and you will need to study FTC (Foreign Tax Credits - Form 1116).
4. When you arrived in the UK will be important as to which UK tax year will be your first, and therefore when registration is required with HMRC as well as your first SA return.
5. Given 3 and 4 above, your first year of filing for the US may require some thought, or the filing of 'extensions'.
6. There are some traps in this situation. See Form 8965, and when you will qualify for the exclusion on US health care.
Lot's to discuss, but it all falls into place eventually. Being retired during those first few years of dual taxation, instead of employed, causes some careful consideration.
This may also help for US filing from abroad:
https://www.irs.gov/publications/p54/For the UK, there is some 'good news' as well, so stand by and let us know a bit more detail of your situation.