Go to your local drugstore and get Sulfadine Cream or a good burn cream ask the PH/RX behind the desk. If they make them in the large size, get CLEAR WATER BLOCK PLUS BANDAGES (Johnson and Johnson)apply the cream to the burn but not on the skin surrounding the burn or the bandage will not stick properly and they should hold up quite well in the shower. There may be some discomfort but, not too much.
Also, I worked in a burn unit oversea's and when someone with sever burns would come in, we would have to place them in a jet tub with medicated water and a good dose of morphine and scrub off the burn skin to expose the new skin underneath so either way there will be discomfort.
If you are healing well, don't break any of the blisters, let them open on their own then clean and apply the cream. Kirlex bandage's come in 2,4,6 inch roll's and you can also put 4x4 square bandages on the burn's and wrap with the Kirlex during the day. And if you want to go the cheep route, just use saranwrap and waterproof tape.
Get yourself a good first-aid book or go to WEB MD and look up the care for Minor Burn's, make yourself a family first aid kit with all the bandage's for wound's and burns, or buy a first aid kit. You could call your local clinic and ask them what kind of kit they have on hand and ask about ordering one.
I have a hugh kit at home as well as a take along in my car. I have enough for at least 5 people after that it's concidered a mass casualty, then call 911.
Hope this info help's you.