I use brown paper towel for applying the choice of oil, and use a silicon basting brush for nooks and crannies
I find the brown paper towel doesn't absorb the oil as much and helps spread it around, also good to use when cleaning the skillet with oil and salt , and cheaper than the white ones lol
I use the white paper towel for wiping oil off
another idea for removal of oils in those hard to get places is a good horse hair paint brush, dry wipe with it, clean the brush on an old tea towel, repeat