Salt the chicken breasts, and place them in a small soup pot, with enough cold water to cover them.
Increase the heat to medium, and wait until the water temperature reads 175˚F.
Reduce the heat to low, and adjust the heat carefully to maintain a consistent water temperature between 170˚F and 180˚F.
While your chicken breasts are gently poaching, rinse and drain your basmati rice until cold running water for three minutes.
Set the drained rice aside for later.
Continue cooking the chicken breasts slowly in the hot water until they reach an internal temperature of roughly 163-165˚F.
When the chicken reaches an internal temperature of 163-165˚F, carefully remove them from the liquid.
Reserve 1.5 cups of cooking liquid, which you will use to cook the rice.
Bring the 1.5 cups of liquid you reserved to a simmer, and add the drained rice.
When the rice and liquid begin to simmer again, add a tight-fitting lid, and reduce the heat to low.
Cook the rice covered with a lid for 16 minutes.
While the rice is cooking, prepare your chopped vegetables and herbs.
When the rice is cooked, remove the lid, and transfer the rice to a medium-sized mixing bowl.
Gently mix the cooked rice with the diced red onion, tomatoes, red and yellow bell peppers, minced jalapeno, lime zest, lime juice, and fresh herbs.
Mix to combine all the ingredients well.
Slice your cooked chicken breast from earlier.
Serve the herb and vegetable rice in bowls, topped with some sliced chicken, Greek yogurt, prepared hummus, and a sprinkling of crumbled Feta cheese.
Serve with extra limes on the side.