Follow the headline link, scroll/search to find the character you need, including emoji, then click the character and it is copied, ready for pasting.

Similar to command-control-space on a Mac, which brings up the character browser, but this is much larger. And on the iPhone, it’s scalable, to make it easy to see more detail.

I did notice that some of the new emoji are not yet implemented (they appear as mystery squares). Still useful to me.