Drip plate burners work best in a hot kiln. The initial heating is best done with another fuel. In this case it's wood.
A simple drip plate burner can be made from three pieces of steel U channel. I hope that a simple spot weld will allow the channels to be repositioned as the bottom channel is eroded in the fire. This is how the burners set into the firebox air intakes. The small pieces on top are brackets to hold the oil pipes.
Just off the shelf plumbing parts for this burner. A short 3/8" nipple is welded to the top bracket then to a 1/2" control valve, then to 3/4" supply pipe.
The supply pipes are connected at the top and the whole unit can be removed when firing with wood.
When firing completely with oil I would need 45 to 55 gal. of oil. Since (in this case) I am only finishing off with oil, this small reservoir made from a half barrel will be more than enough. Here a 1" pipe with a shutoff valve has been welded to the tank. When I am far enough away from the heat of the kiln 1" reenforced vinyl hose can be used. If you are not absolutely sure you will be below 150 deg. F then use flexible copper. Even if you are sure, keeping a cheap thermometer on the pipe would seem to be a good idea. Remember every setup will be different and will require safety decisions made on the spot by you. Dennis Parks in his book "A Potter's Guide To Raw Glazing And Oil Firing" recommends at least 10' between the oil reservoir and the kiln. I would recommend Parks' book to anyone interested in this process.
Well, I just had to include this nite time photo of the kiln, ready to go.