I have a very modest block of shares from a previous employer but I let their managers look after them, including paying the tax (Income Tax?) due on the dividends.
I do not understand such matters enough to try to handle stocks and shares, let alone pay the tax, myself. They were issued with a glossy booklet supposedly explaining them, but I gave up half-way down the first page of what read as if written by stock-brokers for stock-brokers.
They hardly make me rich but usually pay a pleasant little nest-egg each year, and have more than paid for my contribution!