You can use the same pan to saute your washed kale and any additional ingredients like red pepper flakes, chopped walnuts, or ...
Among the most popular ones that you're most likely to come across in supermarkets are curly, Tuscan, and Russian red kale.
Heat oil in a medium sauce pan, then add onion and carrot. Saute until they are tender (5-8 minutes). Add thyme and garlic. Saute for one more minute. Add water or broth, tomatoes, cooked rice, ...