At the highlighted part, care to explain.i dont see him needing to avoid amaterasu, but simply exhaust the use of it with a counter (distraction). As Kisame was him partner he knows Itachi's limits pretty well and amaterasu could only be used but for long.
Kisame was itachi's partner and would know quiet a few of his abilities but that goes both ways. Itachi im sure also knows of kisame abilities. He did after all tell him that his techniques stand out too much and even went as far as saying if he fought kakashi he would suffer injuries. Whether this was to stop him from fighting or whether he truly knows of kisame's limit is speculation.
Also note that even if both know of each others abilities doesnt mean that they know everything about the other, nor does it mean they have the neccesarily counter for the technique. Kisame knows of tsukuyomi, when he mocked kakashi after it was used on him, but also warned itachi from using his eyes too much. This doesnt mean that kisame has a counter for tsukuyomi even if he knows about it