Using your regular laundry detergent is fine, although treating the fabrics with an additional cleaner beforehand may help as well.
vinegar or peroxide soltion will dissolve and remove the odor-causing oils instead of just spreading them around. Try this mixture:
1 liter (or quart) white vinegar OR 3% hydrogen peroxide (peroxide may cause bleaching)
1/4 c. Baking soda.
1 tsp. dish detergent (also a de-greaser)