Wash and drain kale and chard. Finely chop the greens by first stacking them one on top of another, then rolling them up lengthwise and chopping then into thin strips (similar to how you would chiffonade basil leaves). You can also roughly chop up the greens and then chop them up finely in a food processor.
Once you have all of your other veggies and seasonings prepped, heat a large skillet on a medium-high flame. My tip to avoid oil splattering is to toss the vegetables and seasonings (except the salt) in the olive oil first and then add them to the heated skillet at once. Stir with a wooden spoon for a bit. As the veggies start to brown add the salt and 1 cup of the water. Stir to incorporate and to deglaze any brown bits from the pan. Cover and reduce heat to a simmer and simmer for 15 minutes until veggies are tender and greens are soft. If all of the liquid has been soaked up or evaporated then add the remaining cup of water and raise heat to make it bubble up. Once bubbled, turn off heat.
Remove sprigs of thyme before serving. Enjoy!
If serving with brown rice like I have shown here, get the rice cooking before you start the greens. Served here topped with coconut milk and fresh tomato and avocado