A few observations:
Kerosene burns brighter then liquefied paraffin. But Kerosene smells and puts off more smut.
Lamp oil sold today is in fact liquid paraffin, it does not smell.
You can use liquefied paraffin in a lamp that once used Kerosene but you can not use Kerosene in a lamp that has previously used liquefied paraffin, without first replacing the wick. This is because the liquefied paraffin coats the wick with liquid wax and it is no longer suitable for Kerosene to wick up uniformly through the wax coating resulting in the lamp not working correctly. The lamp may still work but not correctly to it's fullest and brightest capacity.
So if you have both fuels, you should either have spare wicks or simply use the Kerosene first then the liquefied paraffin last negating the need to replace the wick in the first place.
You can also use citronella oil in a lamp if it's used outdoors.
The Aladdin Lamp company makes some very nice, very pricy lamps, and unlike most oil lamps they have a round wick Vs. a flat ribbon wick. This produces more candle power or brightness. In addition it employs a mantle over the wick creating a burn chamber, this improvement eliminates the flame from flashing bright to dim and allows the lamp to remain continuously at it's brightest output. This improvement will allow you to read under it's light while reading is not an option under the light omitted by a flat ribbon wick oil lamp.
http://www.aladdin-us.com/site/1627880/page/45029