Taking good fat is important. Sources include avocadoes, nuts (but only if your gallbladder is in reasonably in good shape), fish oils, flax. Keep in mind olive oil is about 20% of good fat, so have a salad with OO, or you can take a spoon full daily.
My research on coconut oil is that it is very easy to digest and metabolize. It also contains caprylic acid that is helpful in killing candida. There is a lot of information online about the benefits of coconut oil.