The two time sensitive items are the hollandaise and the eggs. I tend to have everything ready to go and pop the muffins on (in a toaster) once I’m on the verge of poaching the eggs.
The hollandaise will keep for a bit on a very very low heat (so long as you continue to stir/whisk it) while you spend three mins focused on your eggs.
It’s essential to use a timer for the poaching and the toast will be done about 1 minute faster the eggs. This is fine, I give my lot their muffins to butter while the eggs are finishing.
I also pre-crack the side of the egg (and lay it on it’s side so all the egg white stays in) so it speeds up getting them all in the pan at the same time.
If you use ham you can wrap it in foil and put it on a plate warmer to warm it through without cooking it. It also means the ham isn’t time sensitive and can wait without deteriorating if you happen to need to go again on the eggs or hollandaise.
It goes without saying that it goes smoothly if all components are ready to go before you start.
So for me its-
Pan of water up to a vigorous boil and then turn to a simmer.
As an aside you do often have to temporarily go back up in heat to return to a simmer once the eggs go in but cooking poached eggs is another chapter
Muffins split in two and waiting in the toaster.
Ham foiled and heating though on a plate warmer (I also do this with salmon but I’m wary that salmon isn’t quite as forgiving if left too long, although a lot of people serve salmon cold).
Pre-crack your eggs.
Make the hollandaise ready to go and on the lowest possible heat source with a diffuser and remove it from the heat anytime it starts to look like getting hot hot rather than staying warm.
Poach the eggs and hand out the muffins for buttering
Get assembly nice and fast and put the hollandaise on the table.
It is a lovely breakfast and worth the effort.