The thing about voting for a head of state though ... you could end up with someone as lovely as Boris Johnson. And we would know a lot more about them than the royals, and not in a good way.
I am sure there are many ways for a republic to choose a head of state. After all even the US doesn't directly elect the President.
Anyway, at my age, I'm past caring. When I naively suggested (following DFs sentiments) that the Queen/Monarchy were an outdated inegalitarian relic that should be dismantled asap, I was beaten soundly about the head and told about the mystical powers the Monarch had to prevent the UK ever becoming "like Germany". (We can dismiss the tourism "argument" as a load of bollocks in advance, here).
Only guess what ? When it fucking mattered, we suddenly get told that no, the Monarch has no power. The cannot act without the express permission of the government and are really just a very expensive way to get a piece of headgear from Buck house to Westminster.
Well fuck that, we have Uber these days. Let's lose the Monarchy. Once and for all.