Retention of parental control will be the driving policy in the early years of the FIC but, at some point, you will want to transfer some of the shares to the next generation. One of the simpler types of planning is to transfer non-voting shares to your children, ideally before the shares have significantly grown in value and while your life expectancy is still good. There is no IHT charge if you survive for seven years after the transfer.
If the relevant assets produce income, the rates of Corporation Tax (although these recently rose, with effect from 1 April 2023, to 25% for companies with profits in excess of £250k per annum) are considerably lower than the marginal rates of personal Income Tax (up to 45%), which would apply if the assets continued to be held directly. You should be aware, though, that if you foresee regular profit extraction from a FIC, the combination of Corporation Tax on profits (including capital gains) and Income Tax on dividends will very likely result in a higher overall tax cost than would apply to simply retaining personal ownership.