Once the water is boiled add the chicken in the pot together with the juice of half a lemon. Reduce the heat to medium and cook the thighs for 45min with lid on (see notes).
When the chicken is ready take it out and set aside to cool for a bit. When they are cool enough to handle, use your hands or two forks to shred the chicken. Set aside covered to eat later when the soup is ready.
When the rice is done take the pot off the heat, it is now time to make the avgolemono (egg/lemon mixture). Add two ladles of the stock in a jug with the lemon juice. I use 1 cup of lemon juice when i make it for the family as we like it the lemon flavour to be intense. However, if you do not like it as much you can always add less at this stage and squeeze more lemon upon serving if needed.
Crack the eggs in a blender and blend on the lowest speed with the lid on (see notes). Using the small opening on the lid, slowly add the stock/lemon mixture with the eggs. Do not increase the speed. Stop blending once the stock/lemon mixture is finished.
Depending what I find at the butcher, I also use skinless things without the bone. If you use them then reduce the cooking time to 25min rather than 45min.
To make the avgolemono I’ve used a hand mixer, a stick blender or a food blender. Either method works well to combine the ingredients and make a creamy foam. Just be mindful when using a hand mixer or the stick blender that the liquid could splash hence you need to use a deep bowl or even a tall measuring jug. And once again it is important that the stock/lemon mixture is added slowly into the eggs.