You probably reach for a saucepan when you need to poach eggs. America's Test Kitchen (ATK) recommends a pan instead, in this video guide on how to poach eggs perfectly.
The pan makes the process easier than a saucepan with long sides. Fill with water and bring it to a simmer. Just before it starts simmering, add salt and vinegar or lime juice -- acid is the "magic ingredient" that helps set proteins quicker.
To poach multiple eggs at once, ATK has a neat trick. Crack your eggs into individual cups first, and then slip all of them into the skillet at the same time. Cover the lid and take the skillet off the heat. The residual heat will cook the eggs perfectly, and there's no movement in the water since you took it off the stove. Your perfect poached eggs will be ready in about 4 to 5 minutes.
With this method to poach multiple eggs simultaneously, you might want to whip up a big batch and store them safely for up to two days.
Learn to Cook: Poaching The Perfect Egg [America's Test Kitchen]