Does facial fat grafting have few side effects and a fast recovery period?

As I age and my skin loses elasticity, my concerns are growing. Seeing others look much younger thanks to various procedures has made me interested in trying them myself. I’ve heard that facial fat grafting has fewer side effects and a faster recovery period; is this true? I’ve also noticed there are various areas for facial fat grafting, so I’m curious to know which area is the most effective and offers the quickest recovery.