At first, Naruto might be a bit shy around Kakashi and Anko as he's not used to having such a close family. But soon, he would warm up. Kakashi would probably be the one to set rules and a daily routine for Naruto's training. Anko would break those rules sometimes to let Naruto have some unstructured fun. For example, she might take him to a secret pond she knows just to relax. Naruto would respond by being more open with them, sharing his dreams of becoming Hokage, and they would encourage him wholeheartedly. Their interactions would be a mix of serious training sessions, light - hearted banter, and lots of love.
Kakashi would be the calm and collected father figure. He would offer Naruto sage advice, like how to better control his chakra and use his shadow clones more effectively. Anko, on the other hand, would be more of the fun and spontaneous mother figure. She might take Naruto on wild adventures in the forest near the village. Naruto would be the energetic son, always eager to learn from both of them and also share his own ideas. He would look up to Kakashi for his wisdom and Anko for her boldness.
In this fanfiction scenario, Kakashi, Anko and Naruto's interactions would be quite complex. Kakashi, with his cool and mysterious demeanor, would initially seem a bit intimidating to Naruto. However, as time passes, Naruto would see his kindness and wisdom. Anko, with her fiery personality, would be constantly challenging Naruto to be more adventurous and not be afraid of taking risks. Naruto, being the determined and kind - hearted boy he is, would try to bring out the best in both of them. He might encourage Kakashi to be more open about his feelings and Anko to be a bit more patient. Their relationship would be a beautiful dynamic of growth, love and mutual understanding.