Taking care of is an encompassing term that means a lot of different things. If you're looking for synonyms for taking care of, there are a variety of options depending on the context. For example, when it comes to raising children, alternatives might be nurturing, parenting, or raising. In terms of looking after one's health, maintain, preserve, or manage could work. For someone who is taking care of a pet, words like caring, tending, or watching over might be a good choice. Ultimately, the synonym you choose will depend on what you're trying to convey and the situation.