Great advice, Linda. I personally love rivets as a way to add decorative elements to a piece (Easily Distracted by Shiny Objects - Alec Kercsó - #12 by Alec).
Another way to help a snug rivet fit is to turn the rivet while holding the shaft in a fold of fine sandpaper to minimally reduce its diameter. I prefer this to enlarging the hole, because if I mess something up (like making the hole a little too large), its not the majority of the piece that’s damaged, just the single element.
Alec