I've used coconut oil with great success for the same problem.
Just coat your (clean) finger with the oil, then use it to coat the inside of each nostril.
You can do it as often as you like, but I only did it morning and night and it worked great.
Ayurvedic Medicine advises to use pure sesame oil to lubricate dryness in the nose. To use daily. Part of the problem is the hidden poisons in foods and air.