Syringes are wonderful tools for cleaning.
artbyshan, if you are using the cotton of mesh method you don't want to dry-burn to clean it as it will burn the cotton. When I'm using the cotton method I flush the tank and wick with water or alcohol a bunch of times and shake it out. Then I take a paper towel with water or alcohol on it and justly wipe/brush the coil to get the chunky bits off. I will then blow the cotton and coil with one of those cans of compressed air VERY VERY lightly until the cotton is dry (or just let it and dry out if you don't mind waiting). After that I'm good to go on a new juice.