Oven Off (oven cleaner) instead of putting the grates upside down just place right side up and follow the directions on the can of Oven off.
Alternatives would be using a bit of bleach water, OR using vinegar water.
Soot is caused by an improper flame usually the gas to air ratio is off or you are cooking in a gale (wind) area.
If you have propane then soot comes with the territory, and you have to readjust and use the proper LP valves - but then just walking by the stove while on will cause soot.
Gunk is usually a mix of soot and splattered grease/oil - even if you are a careful cook any frying 'steam' will contain droplets of grease/oil. Ideally after each time you cook you should wash your stove top and its burners with soapy water.
Practically you can use burner covers to prevent grease from getting on the unused burners. For an idea:
http://www.jmcutlery.com/BurnerCovers.htmI use an old flat cookie sheet.
I also use a square of 1/4 inch steel plate - However that is my heat sink, I place it over a burner to spread out the heat evenly for many things I cook.