Which would you recommend; under eye filler or fat grafting?

i am having microfat grafting including under eyes area. . i had bad experiences with fillers due to overfilling or tyndall effect in the past. i am starting to think that perhaps my skin is too thin since fillers show and that fat grafting will result in lumps even though my surgeon is highly skilled in that. shall i do fat grafting to the lower eyelid? do surgeons overfill that area or do they put just enough (i read that the blood supply is good there so what if all fat thrives).