“Under eye bags ”

I have dealt with genetically bad fat pads under my eyes for as long as I can remember. I have bags under my eyes even if I have 12 hours of fully rested sleep. I finally went and seen a surgeon for a lower blepharoplasty, but instead he suggested a fat transfer from stomach to under eyes. Reasons being my age (32) that I should wait a few more years for wrinkles and my bone structure in which I have very little cheek bone and my eye orbital can be filler with fat to help my bag look like almost non existent. I liked the price decrease, but if I’m going through with this I need to know this will eliminate my bags also. What should I do?