Toast the English muffin halves until golden brown.
Heat Canadian bacon in a skillet over medium heat until warm.
Fill a saucepan with water and add vinegar; bring to a gentle simmer.
Crack each egg into a small bowl, then slide them into the simmering water.
Poach the eggs for 3-4 minutes until the whites are set.
Whisk egg yolks and lemon juice in a bowl until pale.
Gradually drizzle in melted butter while whisking continuously.
Season hollandaise sauce with salt and pepper.
Assemble the dish by placing bacon on the muffin, topping with poached eggs, and drizzling with hollandaise.
Garnish with fresh chives and serve immediately.