Bring water to a light simmer in a pot on the stove or in an electric kettle. Then, remove from heat, add in the tea bags making sure they're fully submerged then let those steep for 5 minutes. Then, remove them and let the black tea cool down and transfer to the fridge to chill.
In a blender, place 1 cup water, sugar, and chopped peaches. Blend for 2-3 seconds then pour the mixture into a large pot. Top it off with the rest of the water (1 cup) and heat up on the stove medium heat.
Bring to a boil then reduce to simmer for 5 minutes. Remove from heat and let it sit and steep for 30 more minutes.
Sieve the syrup through a fine sieve into a large pitcher or a jar, make sure to press down on the peach puree to get all the juice out. Let it chill in the fridge for about 30 miuntes.
Lastly, combine the black tea and the peach syrup together in a large pitcher. Stir to combine, then top it off with ice and serve. Then, add peach slices to decorate and enjoy!