To make the simple syrup, combine the peaches, water, and sugar in a small pot and bring to a simmer. Let simmer for 10 minutes then remove from heat and allow to cool completely before using, about 30 minutes
Strain the syrup through a fine-mesh sieve to separate out the fruit. You can discard the peaches, or reserve them to serve with the finished tea or serve them over some ice cream.
Once the syrup is cooled, add 2 cups of water to a teapot or saucepan and bring to a boil. Add the tea bags and let steep for 5 minutes.
Remove the tea bags, squeezing them to pull out any excess water and tea. Then add the 2 remaining cups of water to a pitcher along with the tea.
Stir in the baking soda, lemon juice, and peach syrup. (You can add more peach syrup if you like your tea sweeter.) Add sliced lemons and peaches to the pitcher if desired and chill for 1 hour before serving.
Notes
The syrup recipe should yield about ¾ cup of syrup. If you like sweet tea you can add all of it to the recipe.
I have used both Earl Grey and regular Lipton black to make this recipe and both are delicious. The Lipton has more of that classic iced tea flavor and bite, but the earl grey adds a nice smoothness to the drink.
The baking soda is used to smooth out any bitter flavor from the tea.