Make sure the eggs are fresh. Fresh eggs have a thicker white and hold their shape better when poaching.
Crack the eggs into a cup before tipping it into the pan.
The water in the pan should be at least 5cm deep. Add a dash of vinegar to the water
Drop the egg into the simmering water. Do not allow the water to boil. Cook for 3-4 minutes until the white has set and the yolk cooked to your liking.
If wished to help the white wrap around the yolk - stir the water to create a gentle 'whirlpool' before dropping the egg into the centre - making sure the water is only just bubbling - rather than a rapid boil.