I just did this. I was intimidated at first, but researched a bit online and went for it.
I ordered the appropriate sized aluminum "brazier head" rivets off amazon. Might have to drill one out to make sure you get the right size before you order them.
Go to harbor freight and buy their cheap, $15 air hammer. It comes with a few different bits, one is a chisel bit. Saw the chisel part off. Drill the face/tip where the chisel used to be with a 1/2 bit to concave it.
Drill the heads off the rivets on your boat transom as described above by Steph.
When time to reinstall/rivet the brackets, slide the new rivet into the hole from the outside if the boat.
Hold a heavy piece of metal against the shaft of the rivet on the inside of the boat. I used a small mini sledge that I drilled a small concaved hole in. You might need someone else to do this if. Place the air hammer on the head of the rivet on the outside if the boat. Pull the trigger in bursts, checking on the progress as you go along. This process is called "bucking."
This was a very cheap, easy process. You'll likely have a bunch of rivets left over, as mine came in a 1 lb bag. You'll also have the ability to rebuck any leaky rivets you may find elsewhere on the boat as time passes.